381913879286592 has 2240 divisors, whose sum is σ = 1339248182722560. Its totient is φ = 106775204659200.

The previous prime is 381913879286509. The next prime is 381913879286593. The reversal of 381913879286592 is 295682978319183.

381913879286592 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 1 + 387 + 92 + 8 + 65 + 92 = 666.

It is a super-2 number, since 2×381913879286592² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381913879286593) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 886111088617 + ... + 886111089047.

Almost surely, 2^{381913879286592} is an apocalyptic number.

381913879286592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381913879286592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669624091361280).

381913879286592 is an abundant number, since it is smaller than the sum of its proper divisors (957334303435968).

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

381913879286592 is a wasteful number, since it uses less digits than its factorization.

381913879286592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 943 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 381913879286592 in words is "three hundred eighty-one trillion, nine hundred thirteen billion, eight hundred seventy-nine million, two hundred eighty-six thousand, five hundred ninety-two".