381385526016 has 216 divisors, whose sum is σ = 1164222501120. Its totient is φ = 110545909760.

The previous prime is 381385526009. The next prime is 381385526029. The reversal of 381385526016 is 610625583183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048125 + ... + 2226563.

Almost surely, 2^381385526016 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 381385526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582111250560).

381385526016 is an abundant number, since it is smaller than the sum of its proper divisors (782836975104).

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

381385526016 is a wasteful number, since it uses less digits than its factorization.

381385526016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178503 (or 178478 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 381385526016 in words is "three hundred eighty-one billion, three hundred eighty-five million, five hundred twenty-six thousand, sixteen".