45900430056 has 320 divisors, whose sum is σ = 145219979520. Its totient is φ = 13439416320.

The previous prime is 45900430001. The next prime is 45900430057. The reversal of 45900430056 is 65003400954.

It is a happy number.

It is a super-3 number, since 3×45900430056³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45900430056.

It is not an unprimeable number, because it can be changed into a prime (45900430057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46693741 + ... + 46694723.

It is an arithmetic number, because the mean of its divisors is an integer number (453812436).

Almost surely, 2^45900430056 is an apocalyptic number.

45900430056 is a gapful number since it is divisible by the number (46) 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 45900430056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72609989760).

45900430056 is an abundant number, since it is smaller than the sum of its proper divisors (99319549464).

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

45900430056 is a wasteful number, since it uses less digits than its factorization.

45900430056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45900430056 in words is "forty-five billion, nine hundred million, four hundred thirty thousand, fifty-six".