388096883372100 has 144 divisors (see below), whose sum is σ = 1283670286593408. Its totient is φ = 88682748994560.

The previous prime is 388096883372071. The next prime is 388096883372129. The reversal of 388096883372100 is 1273388690883.

It is an interprime number because it is at equal distance from previous prime (388096883372071) and next prime (388096883372129).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 18735249 + ... + 33573848.

It is an arithmetic number, because the mean of its divisors is an integer number (8914376990232).

Almost surely, 2^{388096883372100} is an apocalyptic number.

388096883372100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

388096883372100 is an abundant number, since it is smaller than the sum of its proper divisors (895573403221308).

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

388096883372100 is a wasteful number, since it uses less digits than its factorization.

388096883372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52312654 (or 52312647 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 388096883372100 in words is "three hundred eighty-eight trillion, ninety-six billion, eight hundred eighty-three million, three hundred seventy-two thousand, one hundred".