45876295745280 has 4608 divisors, whose sum is σ = 225579863900160. Its totient is φ = 8522661888000.

The previous prime is 45876295745279. The next prime is 45876295745299. The reversal of 45876295745280 is 8254759267854.

45876295745280 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 6 + 2 + 95 + 7 + 4 + 528 + 0 = 666.

45876295745280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45876295745280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45876295745199 and 45876295745208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 240190029985 + ... + 240190030175.

It is an arithmetic number, because the mean of its divisors is an integer number (48953963520).

Almost surely, 2^{45876295745280} is an apocalyptic number.

45876295745280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45876295745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112789931950080).

45876295745280 is an abundant number, since it is smaller than the sum of its proper divisors (179703568154880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45876295745280 is a wasteful number, since it uses less digits than its factorization.

45876295745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 45876295745280 in words is "forty-five trillion, eight hundred seventy-six billion, two hundred ninety-five million, seven hundred forty-five thousand, two hundred eighty".