46112561531160 has 384 divisors, whose sum is σ = 149939954418240. Its totient is φ = 11340546048000.

The previous prime is 46112561531033. The next prime is 46112561531207. The reversal of 46112561531160 is 6113516521164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339692100 + ... + 339827820.

Almost surely, 2^{46112561531160} is an apocalyptic number.

46112561531160 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 46112561531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74969977209120).

46112561531160 is an abundant number, since it is smaller than the sum of its proper divisors (103827392887080).

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

46112561531160 is a wasteful number, since it uses less digits than its factorization.

46112561531160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135967 (or 135946 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

It can be divided in two parts, 4611256 and 1531160, that added together give a palindrome (6142416).

The spelling of 46112561531160 in words is "forty-six trillion, one hundred twelve billion, five hundred sixty-one million, five hundred thirty-one thousand, one hundred sixty".