381239563493376 has 1120 divisors, whose sum is σ = 1314627203843712. Its totient is φ = 107844080762880.

The previous prime is 381239563493357. The next prime is 381239563493381. The reversal of 381239563493376 is 673394365932183.

381239563493376 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 3 + 9 + 5 + 63 + 493 + 3 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392625708571 + ... + 392625709541.

Almost surely, 2^{381239563493376} is an apocalyptic number.

381239563493376 is a gapful number since it is divisible by the number (36) 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 381239563493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657313601921856).

381239563493376 is an abundant number, since it is smaller than the sum of its proper divisors (933387640350336).

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

381239563493376 is an equidigital number, since it uses as much as digits as its factorization.

381239563493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1737 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 72.

The spelling of 381239563493376 in words is "three hundred eighty-one trillion, two hundred thirty-nine billion, five hundred sixty-three million, four hundred ninety-three thousand, three hundred seventy-six".