381751641744 has 160 divisors (see below), whose sum is σ = 1082945687040. Its totient is φ = 114920217600.

The previous prime is 381751641727. The next prime is 381751641809. The reversal of 381751641744 is 447146157183.

It is a hoax number, since the sum of its digits (51) 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162653979 + ... + 162656325.

It is an arithmetic number, because the mean of its divisors is an integer number (6768410544).

Almost surely, 2^381751641744 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 381751641744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541472843520).

381751641744 is an abundant number, since it is smaller than the sum of its proper divisors (701194045296).

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

381751641744 is a wasteful number, since it uses less digits than its factorization.

381751641744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4263 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 381751641744 in words is "three hundred eighty-one billion, seven hundred fifty-one million, six hundred forty-one thousand, seven hundred forty-four".