381979109574792 has 320 divisors, whose sum is σ = 1100820444387840. Its totient is φ = 123689941401600.

The previous prime is 381979109574779. The next prime is 381979109574793. The reversal of 381979109574792 is 297475901979183.

381979109574792 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 7 + 91 + 0 + 9 + 57 + 479 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (381979109574793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2199354117 + ... + 2199527787.

It is an arithmetic number, because the mean of its divisors is an integer number (3440063888712).

Almost surely, 2^{381979109574792} 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 381979109574792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550410222193920).

381979109574792 is an abundant number, since it is smaller than the sum of its proper divisors (718841334813048).

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

381979109574792 is a wasteful number, since it uses less digits than its factorization.

381979109574792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174274 (or 174261 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 81.

The spelling of 381979109574792 in words is "three hundred eighty-one trillion, nine hundred seventy-nine billion, one hundred nine million, five hundred seventy-four thousand, seven hundred ninety-two".