45892557160 has 32 divisors (see below), whose sum is σ = 103264611840. Its totient is φ = 18355892544.

The previous prime is 45892557149. The next prime is 45892557163. The reversal of 45892557160 is 6175529854.

It is a happy number.

It is a super-2 number, since 2×45892557160² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45892557098 and 45892557107.

It is not an unprimeable number, because it can be changed into a prime (45892557163) 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 7 ways as a sum of consecutive naturals, for example, 989449 + ... + 1034791.

It is an arithmetic number, because the mean of its divisors is an integer number (3227019120).

Almost surely, 2^45892557160 is an apocalyptic number.

45892557160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45892557160 is an abundant number, since it is smaller than the sum of its proper divisors (57372054680).

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

45892557160 is a wasteful number, since it uses less digits than its factorization.

45892557160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70657 (or 70653 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 45892557160 in words is "forty-five billion, eight hundred ninety-two million, five hundred fifty-seven thousand, one hundred sixty".