45976155960 has 256 divisors, whose sum is σ = 158970700800. Its totient is φ = 10420088832.

The previous prime is 45976155931. The next prime is 45976155983. The reversal of 45976155960 is 6955167954.

45976155960 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 2×45976155960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45976155960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87908259 + ... + 87908781.

It is an arithmetic number, because the mean of its divisors is an integer number (620979300).

Almost surely, 2^45976155960 is an apocalyptic number.

45976155960 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 45976155960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79485350400).

45976155960 is an abundant number, since it is smaller than the sum of its proper divisors (112994544840).

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

45976155960 is a wasteful number, since it uses less digits than its factorization.

45976155960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 45976155960 in words is "forty-five billion, nine hundred seventy-six million, one hundred fifty-five thousand, nine hundred sixty".