13699901952 has 400 divisors, whose sum is σ = 45453117600. Its totient is φ = 4073103360.

The previous prime is 13699901921. The next prime is 13699901993. The reversal of 13699901952 is 25910999631.

13699901952 is a `hidden beast` number, since 1 + 369 + 9 + 90 + 195 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26915074 + ... + 26915582.

It is an arithmetic number, because the mean of its divisors is an integer number (113632794).

Almost surely, 2^13699901952 is an apocalyptic number.

13699901952 is a gapful number since it is divisible by the number (12) 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 13699901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726558800).

13699901952 is an abundant number, since it is smaller than the sum of its proper divisors (31753215648).

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

13699901952 is an equidigital number, since it uses as much as digits as its factorization.

13699901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 13699901952 in words is "thirteen billion, six hundred ninety-nine million, nine hundred one thousand, nine hundred fifty-two".