13112017498944 has 1008 divisors, whose sum is σ = 47740910227920. Its totient is φ = 3410073354240.

The previous prime is 13112017498913. The next prime is 13112017498969. The reversal of 13112017498944 is 44989471021131.

13112017498944 is a `hidden beast` number, since 1 + 31 + 1 + 20 + 17 + 498 + 94 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1029997652544 + 12082019846400 = 1014888^2 + 3475920^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13112017498944² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9494581134 + ... + 9494582514.

It is an arithmetic number, because the mean of its divisors is an integer number (47362014115).

Almost surely, 2^{13112017498944} is an apocalyptic number.

13112017498944 is a gapful number since it is divisible by the number (14) 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 13112017498944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870455113960).

13112017498944 is an abundant number, since it is smaller than the sum of its proper divisors (34628892728976).

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

13112017498944 is a wasteful number, since it uses less digits than its factorization.

13112017498944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 13112017498944 in words is "thirteen trillion, one hundred twelve billion, seventeen million, four hundred ninety-eight thousand, nine hundred forty-four".