381501259776 has 900 divisors, whose sum is σ = 1416292497312. Its totient is φ = 100615716864.

The previous prime is 381501259687. The next prime is 381501259813. The reversal of 381501259776 is 677952105183.

381501259776 is a `hidden beast` number, since 3 + 81 + 501 + 2 + 59 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×381501259776² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29346250746 + ... + 29346250758.

Almost surely, 2^381501259776 is an apocalyptic number.

381501259776 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 381501259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708146248656).

381501259776 is an abundant number, since it is smaller than the sum of its proper divisors (1034791237536).

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

381501259776 is an frugal number, since it uses more digits than its factorization.

381501259776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 381501259776 in words is "three hundred eighty-one billion, five hundred one million, two hundred fifty-nine thousand, seven hundred seventy-six".