45831409632 has 288 divisors, whose sum is σ = 142391208960. Its totient is φ = 14472691200.

The previous prime is 45831409601. The next prime is 45831409661. The reversal of 45831409632 is 23690413854.

45831409632 is a `hidden beast` number, since 4 + 5 + 8 + 3 + 1 + 4 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19493257 + ... + 19495607.

It is an arithmetic number, because the mean of its divisors is an integer number (494413920).

Almost surely, 2^45831409632 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 45831409632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71195604480).

45831409632 is an abundant number, since it is smaller than the sum of its proper divisors (96559799328).

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

45831409632 is a wasteful number, since it uses less digits than its factorization.

45831409632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45831409632 in words is "forty-five billion, eight hundred thirty-one million, four hundred nine thousand, six hundred thirty-two".