45953144832 has 384 divisors, whose sum is σ = 144353664000. Its totient is φ = 12730368000.

The previous prime is 45953144821. The next prime is 45953144863. The reversal of 45953144832 is 23844135954.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45953144832² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308410294 + ... + 308410442.

It is an arithmetic number, because the mean of its divisors is an integer number (375921000).

Almost surely, 2^45953144832 is an apocalyptic number.

45953144832 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 45953144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832000).

45953144832 is an abundant number, since it is smaller than the sum of its proper divisors (98400519168).

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

45953144832 is a wasteful number, since it uses less digits than its factorization.

45953144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 45953144832 in words is "forty-five billion, nine hundred fifty-three million, one hundred forty-four thousand, eight hundred thirty-two".