13886368155072 has 672 divisors, whose sum is σ = 47037568827392. Its totient is φ = 3834576764928.

The previous prime is 13886368155053. The next prime is 13886368155091. The reversal of 13886368155072 is 27055186368831.

13886368155072 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 3 + 6 + 8 + 1 + 550 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (13886368155053) and next prime (13886368155091).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12704819358 + ... + 12704820450.

Almost surely, 2^{13886368155072} is an apocalyptic number.

13886368155072 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 13886368155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23518784413696).

13886368155072 is an abundant number, since it is smaller than the sum of its proper divisors (33151200672320).

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

13886368155072 is a wasteful number, since it uses less digits than its factorization.

13886368155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 13886368155072 in words is "thirteen trillion, eight hundred eighty-six billion, three hundred sixty-eight million, one hundred fifty-five thousand, seventy-two".