45988013412 has 288 divisors, whose sum is σ = 140453913600. Its totient is φ = 13016868480.

The previous prime is 45988013387. The next prime is 45988013413. The reversal of 45988013412 is 21431088954.

45988013412 is a `hidden beast` number, since 4 + 598 + 8 + 0 + 13 + 41 + 2 = 666.

It is a super-2 number, since 2×45988013412² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45988013413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10572214 + ... + 10576562.

It is an arithmetic number, because the mean of its divisors is an integer number (487687200).

Almost surely, 2^45988013412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45988013412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70226956800).

45988013412 is an abundant number, since it is smaller than the sum of its proper divisors (94465900188).

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

45988013412 is a wasteful number, since it uses less digits than its factorization.

45988013412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 4598 and 8013412, that added together give a triangular number (8018010 = T₄₀₀₄).

The spelling of 45988013412 in words is "forty-five billion, nine hundred eighty-eight million, thirteen thousand, four hundred twelve".