45953639424 has 891 divisors, whose sum is σ = 175713790161. Its totient is φ = 11524423680.

The previous prime is 45953639401. The next prime is 45953639441. The reversal of 45953639424 is 42493635954.

The square root of 45953639424 is 214368.

It is a perfect power (a square), and thus also a powerful number.

45953639424 is a `hidden beast` number, since 4 + 59 + 536 + 39 + 4 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24096973824 + 21856665600 = 155232^2 + 147840^2 .

It is a super-2 number, since 2×45953639424² (a number of 22 digits) contains 22 as substring.

Its product of digits (13996800) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1584608242 + ... + 1584608270.

Almost surely, 2^45953639424 is an apocalyptic number.

45953639424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45953639424 is the 214368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45953639424

45953639424 is an abundant number, since it is smaller than the sum of its proper divisors (129760150737).

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

45953639424 is a wasteful number, since it uses less digits than its factorization.

45953639424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 52 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 45953639424 in words is "forty-five billion, nine hundred fifty-three million, six hundred thirty-nine thousand, four hundred twenty-four".