45935623624 has 64 divisors (see below), whose sum is σ = 96898032000. Its totient is φ = 20233612800.

The previous prime is 45935623603. The next prime is 45935623627. The reversal of 45935623624 is 42632653954.

It is a super-2 number, since 2×45935623624² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45935623627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494869 + ... + 580315.

It is an arithmetic number, because the mean of its divisors is an integer number (1514031750).

Almost surely, 2^45935623624 is an apocalyptic number.

45935623624 is a gapful number since it is divisible by the number (44) 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 45935623624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48449016000).

45935623624 is an abundant number, since it is smaller than the sum of its proper divisors (50962408376).

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

45935623624 is a wasteful number, since it uses less digits than its factorization.

45935623624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85654 (or 85650 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

The spelling of 45935623624 in words is "forty-five billion, nine hundred thirty-five million, six hundred twenty-three thousand, six hundred twenty-four".