45865520400960 has 840 divisors, whose sum is σ = 176427193902336. Its totient is φ = 10925174108160.

The previous prime is 45865520400943. The next prime is 45865520400967. The reversal of 45865520400960 is 6900402556854.

45865520400960 is a `hidden beast` number, since 4 + 5 + 86 + 55 + 20 + 400 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45865520400897 and 45865520400906.

It is not an unprimeable number, because it can be changed into a prime (45865520400967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2549917087 + ... + 2549935073.

Almost surely, 2^{45865520400960} is an apocalyptic number.

45865520400960 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 45865520400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88213596951168).

45865520400960 is an abundant number, since it is smaller than the sum of its proper divisors (130561673501376).

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

45865520400960 is a wasteful number, since it uses less digits than its factorization.

45865520400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18041 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 45865520400960 in words is "forty-five trillion, eight hundred sixty-five billion, five hundred twenty million, four hundred thousand, nine hundred sixty".