45939845952 has 1008 divisors, whose sum is σ = 185166438912. Its totient is φ = 10966026240.

The previous prime is 45939845947. The next prime is 45939845999. The reversal of 45939845952 is 25954893954.

45939845952 is a `hidden beast` number, since 4 + 5 + 9 + 39 + 8 + 4 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×45939845952² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45939845952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202378063 + ... + 202378289.

It is an arithmetic number, because the mean of its divisors is an integer number (183696864).

Almost surely, 2^45939845952 is an apocalyptic number.

45939845952 is a gapful number since it is divisible by the number (42) 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 45939845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92583219456).

45939845952 is an abundant number, since it is smaller than the sum of its proper divisors (139226592960).

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

45939845952 is a wasteful number, since it uses less digits than its factorization.

45939845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 45939845952 in words is "forty-five billion, nine hundred thirty-nine million, eight hundred forty-five thousand, nine hundred fifty-two".