13958308338372 has 18 divisors (see below), whose sum is σ = 35283501633198. Its totient is φ = 4652769446112.

The previous prime is 13958308338353. The next prime is 13958308338407. The reversal of 13958308338372 is 27383380385931.

It is a happy number.

13958308338372 is a `hidden beast` number, since 1 + 39 + 5 + 83 + 0 + 83 + 383 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11768577247296 + 2189731091076 = 3430536^2 + 1479774^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13958308338372² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193865393553 + ... + 193865393624.

Almost surely, 2^{13958308338372} is an apocalyptic number.

13958308338372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13958308338372 is an abundant number, since it is smaller than the sum of its proper divisors (21325193294826).

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

13958308338372 is a wasteful number, since it uses less digits than its factorization.

13958308338372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387730787187 (or 387730787182 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 13958308338372 in words is "thirteen trillion, nine hundred fifty-eight billion, three hundred eight million, three hundred thirty-eight thousand, three hundred seventy-two".