381990159691632 has 480 divisors, whose sum is σ = 1146381537600000. Its totient is φ = 118387290341376.

The previous prime is 381990159691631. The next prime is 381990159691639. The reversal of 381990159691632 is 236196951099183.

381990159691632 is a `hidden beast` number, since 3 + 8 + 19 + 9 + 0 + 1 + 596 + 9 + 16 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381990159691631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33987907869 + ... + 33987919107.

It is an arithmetic number, because the mean of its divisors is an integer number (2388294870000).

Almost surely, 2^{381990159691632} 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 381990159691632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573190768800000).

381990159691632 is an abundant number, since it is smaller than the sum of its proper divisors (764391377908368).

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

381990159691632 is a wasteful number, since it uses less digits than its factorization.

381990159691632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12173 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 72.

The spelling of 381990159691632 in words is "three hundred eighty-one trillion, nine hundred ninety billion, one hundred fifty-nine million, six hundred ninety-one thousand, six hundred thirty-two".