45856141632 has 448 divisors, whose sum is σ = 163933632000. Its totient is φ = 12270403584.

The previous prime is 45856141567. The next prime is 45856141651. The reversal of 45856141632 is 23614165854.

45856141632 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 6 + 1 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55314594 + ... + 55315422.

Almost surely, 2^45856141632 is an apocalyptic number.

45856141632 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 45856141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81966816000).

45856141632 is an abundant number, since it is smaller than the sum of its proper divisors (118077490368).

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

45856141632 is a wasteful number, since it uses less digits than its factorization.

45856141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 45856141632 in words is "forty-five billion, eight hundred fifty-six million, one hundred forty-one thousand, six hundred thirty-two".