381584787948 has 1440 divisors, whose sum is σ = 1408479959040. Its totient is φ = 88885278720.

The previous prime is 381584787893. The next prime is 381584787977. The reversal of 381584787948 is 849787485183.

381584787948 is a `hidden beast` number, since 3 + 81 + 5 + 8 + 478 + 79 + 4 + 8 = 666.

381584787948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5227188840 + ... + 5227188912.

Almost surely, 2^381584787948 is an apocalyptic number.

381584787948 is a gapful number since it is divisible by the number (38) 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 381584787948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704239979520).

381584787948 is an abundant number, since it is smaller than the sum of its proper divisors (1026895171092).

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

381584787948 is a wasteful number, since it uses less digits than its factorization.

381584787948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 381584787948 in words is "three hundred eighty-one billion, five hundred eighty-four million, seven hundred eighty-seven thousand, nine hundred forty-eight".