381753676464 has 160 divisors (see below), whose sum is σ = 1015862480640. Its totient is φ = 123485945856.

The previous prime is 381753676429. The next prime is 381753676517. The reversal of 381753676464 is 464676357183.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 381753676398 and 381753676407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121692304 + ... + 121695440.

It is an arithmetic number, because the mean of its divisors is an integer number (6349140504).

Almost surely, 2^381753676464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381753676464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507931240320).

381753676464 is an abundant number, since it is smaller than the sum of its proper divisors (634108804176).

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

381753676464 is a wasteful number, since it uses less digits than its factorization.

381753676464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3741 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 60.

The spelling of 381753676464 in words is "three hundred eighty-one billion, seven hundred fifty-three million, six hundred seventy-six thousand, four hundred sixty-four".