13830857154432 has 192 divisors, whose sum is σ = 40380348303360. Its totient is φ = 4543093416960.

The previous prime is 13830857154409. The next prime is 13830857154487. The reversal of 13830857154432 is 23445175803831.

13830857154432 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 0 + 8 + 57 + 154 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168695913 + ... + 168777879.

It is an arithmetic number, because the mean of its divisors is an integer number (210314314080).

Almost surely, 2^{13830857154432} is an apocalyptic number.

13830857154432 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 13830857154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190174151680).

13830857154432 is an abundant number, since it is smaller than the sum of its proper divisors (26549491148928).

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

13830857154432 is a wasteful number, since it uses less digits than its factorization.

13830857154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84121 (or 84106 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 13830857154432 in words is "thirteen trillion, eight hundred thirty billion, eight hundred fifty-seven million, one hundred fifty-four thousand, four hundred thirty-two".