14157538938900 has 648 divisors, whose sum is σ = 53129309819040. Its totient is φ = 3142786106880.

The previous prime is 14157538938899. The next prime is 14157538938919. The reversal of 14157538938900 is 983983575141.

14157538938900 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 7 + 538 + 9 + 3 + 8 + 90 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 215924922 + ... + 215990478.

Almost surely, 2^{14157538938900} is an apocalyptic number.

14157538938900 is a gapful number since it is divisible by the number (10) 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 14157538938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26564654909520).

14157538938900 is an abundant number, since it is smaller than the sum of its proper divisors (38971770880140).

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

14157538938900 is a wasteful number, since it uses less digits than its factorization.

14157538938900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65733 (or 65716 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 14157538938900 in words is "fourteen trillion, one hundred fifty-seven billion, five hundred thirty-eight million, nine hundred thirty-eight thousand, nine hundred".