381814660962 has 144 divisors (see below), whose sum is σ = 968925672000. Its totient is φ = 108344174400.

The previous prime is 381814660943. The next prime is 381814660973. The reversal of 381814660962 is 269066418183.

381814660962 is a `hidden beast` number, since 3 + 8 + 18 + 14 + 6 + 609 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 381814660899 and 381814660908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115664712 + ... + 115668012.

It is an arithmetic number, because the mean of its divisors is an integer number (6728650500).

Almost surely, 2^381814660962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381814660962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484462836000).

381814660962 is an abundant number, since it is smaller than the sum of its proper divisors (587111011038).

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

381814660962 is a wasteful number, since it uses less digits than its factorization.

381814660962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 381814660962 in words is "three hundred eighty-one billion, eight hundred fourteen million, six hundred sixty thousand, nine hundred sixty-two".