45965556480 has 144 divisors (see below), whose sum is σ = 148175806464. Its totient is φ = 12142817280.

The previous prime is 45965556479. The next prime is 45965556499. The reversal of 45965556480 is 8465556954.

It is a super-2 number, since 2×45965556480² (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 45965556480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354945 + ... + 466815.

It is an arithmetic number, because the mean of its divisors is an integer number (1028998656).

Almost surely, 2^45965556480 is an apocalyptic number.

45965556480 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 45965556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74087903232).

45965556480 is an abundant number, since it is smaller than the sum of its proper divisors (102210249984).

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

45965556480 is a wasteful number, since it uses less digits than its factorization.

45965556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112002 (or 111988 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 45965556480 in words is "forty-five billion, nine hundred sixty-five million, five hundred fifty-six thousand, four hundred eighty".