383551656768 has 126 divisors (see below), whose sum is σ = 1278872534706. Its totient is φ = 109586179584.

The previous prime is 383551656749. The next prime is 383551656791. The reversal of 383551656768 is 867656155383.

It is a happy number.

383551656768 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 5 + 1 + 6 + 567 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352493938944 + 31057717824 = 593712^2 + 176232^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×383551656768² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6766555 + ... + 6823002.

Almost surely, 2^383551656768 is an apocalyptic number.

It is an amenable number.

383551656768 is an abundant number, since it is smaller than the sum of its proper divisors (895320877938).

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

383551656768 is a wasteful number, since it uses less digits than its factorization.

383551656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589589 (or 13589569 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 383551656768 in words is "three hundred eighty-three billion, five hundred fifty-one million, six hundred fifty-six thousand, seven hundred sixty-eight".