13912881884928 has 1440 divisors, whose sum is σ = 48464423884800. Its totient is φ = 3933639770112.

The previous prime is 13912881884927. The next prime is 13912881884983. The reversal of 13912881884928 is 82948818821931.

13912881884928 is a `hidden beast` number, since 1 + 3 + 9 + 128 + 8 + 1 + 8 + 8 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13912881884921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29045682193 + ... + 29045682671.

It is an arithmetic number, because the mean of its divisors is an integer number (33655849920).

Almost surely, 2^{13912881884928} is an apocalyptic number.

13912881884928 is a gapful number since it is divisible by the number (18) 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 13912881884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24232211942400).

13912881884928 is an abundant number, since it is smaller than the sum of its proper divisors (34551541999872).

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

13912881884928 is a wasteful number, since it uses less digits than its factorization.

13912881884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 72.

The spelling of 13912881884928 in words is "thirteen trillion, nine hundred twelve billion, eight hundred eighty-one million, eight hundred eighty-four thousand, nine hundred twenty-eight".