45957085865280 has 168 divisors, whose sum is σ = 158196445254432. Its totient is φ = 12245669907456.

The previous prime is 45957085865263. The next prime is 45957085865329. The reversal of 45957085865280 is 8256858075954.

It is a happy number.

45957085865280 is a `hidden beast` number, since 4 + 5 + 95 + 7 + 0 + 8 + 5 + 8 + 6 + 528 + 0 = 666.

It is a super-2 number, since 2×45957085865280² (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 = 45957085865199 and 45957085865208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2523714 + ... + 9913793.

Almost surely, 2^{45957085865280} is an apocalyptic number.

45957085865280 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 45957085865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79098222627216).

45957085865280 is an abundant number, since it is smaller than the sum of its proper divisors (112239359389152).

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

45957085865280 is a wasteful number, since it uses less digits than its factorization.

45957085865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438813 (or 12438800 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 72.

The spelling of 45957085865280 in words is "forty-five trillion, nine hundred fifty-seven billion, eighty-five million, eight hundred sixty-five thousand, two hundred eighty".