46931107104 has 252 divisors, whose sum is σ = 161151130854. Its totient is φ = 13408561152.

The previous prime is 46931107081. The next prime is 46931107117. The reversal of 46931107104 is 40170113964.

It can be written as a sum of positive squares in only one way, i.e., 45773746704 + 1157360400 = 213948^2 + 34020^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1122544 + ... + 1163600.

Almost surely, 2^46931107104 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 46931107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80575565427).

46931107104 is an abundant number, since it is smaller than the sum of its proper divisors (114220023750).

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

46931107104 is an equidigital number, since it uses as much as digits as its factorization.

46931107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41099 (or 41069 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 46931107104 in words is "forty-six billion, nine hundred thirty-one million, one hundred seven thousand, one hundred four".