388856309954112 has 2688 divisors, whose sum is σ = 1660529659944960. Its totient is φ = 87411695616000.

The previous prime is 388856309954069. The next prime is 388856309954209. The reversal of 388856309954112 is 211459903658883.

388856309954112 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 5 + 63 + 0 + 9 + 9 + 541 + 12 = 666.

It is a super-2 number, since 2×388856309954112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55781994787 + ... + 55782001757.

It is an arithmetic number, because the mean of its divisors is an integer number (617756569920).

Almost surely, 2^{388856309954112} is an apocalyptic number.

388856309954112 is a gapful number since it is divisible by the number (32) 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 388856309954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830264829972480).

388856309954112 is an abundant number, since it is smaller than the sum of its proper divisors (1271673349990848).

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

388856309954112 is a wasteful number, since it uses less digits than its factorization.

388856309954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 388856309954112 in words is "three hundred eighty-eight trillion, eight hundred fifty-six billion, three hundred nine million, nine hundred fifty-four thousand, one hundred twelve".