381110511744 has 96 divisors (see below), whose sum is σ = 1098425303040. Its totient is φ = 126835269120.

The previous prime is 381110511689. The next prime is 381110511781. The reversal of 381110511744 is 447115011183.

381110511744 is a `hidden beast` number, since 381 + 1 + 105 + 1 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×381110511744³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 381110511699 and 381110511708.

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 11 ways as a sum of consecutive naturals, for example, 464769 + ... + 989055.

It is an arithmetic number, because the mean of its divisors is an integer number (11441930240).

Almost surely, 2^381110511744 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 381110511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549212651520).

381110511744 is an abundant number, since it is smaller than the sum of its proper divisors (717314791296).

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

381110511744 is a wasteful number, since it uses less digits than its factorization.

381110511744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524938 (or 524923 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 381110511744 in words is "three hundred eighty-one billion, one hundred ten million, five hundred eleven thousand, seven hundred forty-four".