388968761664 has 448 divisors, whose sum is σ = 1393001349120. Its totient is φ = 103895654400.

The previous prime is 388968761581. The next prime is 388968761683. The reversal of 388968761664 is 466167869883.

388968761664 is a `hidden beast` number, since 388 + 9 + 6 + 87 + 6 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 388968761592 and 388968761601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31044169 + ... + 31056695.

Almost surely, 2^388968761664 is an apocalyptic number.

388968761664 is a gapful number since it is divisible by the number (34) 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 388968761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696500674560).

388968761664 is an abundant number, since it is smaller than the sum of its proper divisors (1004032587456).

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

388968761664 is a wasteful number, since it uses less digits than its factorization.

388968761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12707 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 388968761664 in words is "three hundred eighty-eight billion, nine hundred sixty-eight million, seven hundred sixty-one thousand, six hundred sixty-four".