13998951072 has 36 divisors (see below), whose sum is σ = 39809517930. Its totient is φ = 4666316928.

The previous prime is 13998951067. The next prime is 13998951089. The reversal of 13998951072 is 27015989931.

13998951072 is a `hidden beast` number, since 1 + 39 + 98 + 9 + 510 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7326675216 + 6672275856 = 85596^2 + 81684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13998951072² (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 24303447 + ... + 24304022.

Almost surely, 2^13998951072 is an apocalyptic number.

13998951072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13998951072 is an abundant number, since it is smaller than the sum of its proper divisors (25810566858).

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

13998951072 is a wasteful number, since it uses less digits than its factorization.

13998951072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48607485 (or 48607474 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 13998951072 in words is "thirteen billion, nine hundred ninety-eight million, nine hundred fifty-one thousand, seventy-two".