45631015630640 has 160 divisors (see below), whose sum is σ = 119125008707904. Its totient is φ = 16109301841920.

The previous prime is 45631015630639. The next prime is 45631015630691. The reversal of 45631015630640 is 4603651013654.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 45631015630591 and 45631015630600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13346612 + ... + 16413228.

Almost surely, 2^{45631015630640} is an apocalyptic number.

45631015630640 is a gapful number since it is divisible by the number (40) 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 45631015630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59562504353952).

45631015630640 is an abundant number, since it is smaller than the sum of its proper divisors (73493993077264).

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

45631015630640 is a wasteful number, since it uses less digits than its factorization.

45631015630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067135 (or 3067129 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 45631015630640 in words is "forty-five trillion, six hundred thirty-one billion, fifteen million, six hundred thirty thousand, six hundred forty".