381156416256 has 288 divisors, whose sum is σ = 1266118092288. Its totient is φ = 98894315520.

The previous prime is 381156416239. The next prime is 381156416261. The reversal of 381156416256 is 652614651183.

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 31 ways as a sum of consecutive naturals, for example, 64632700 + ... + 64638596.

It is an arithmetic number, because the mean of its divisors is an integer number (4396243376).

Almost surely, 2^381156416256 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 381156416256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633059046144).

381156416256 is an abundant number, since it is smaller than the sum of its proper divisors (884961676032).

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

381156416256 is a wasteful number, since it uses less digits than its factorization.

381156416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7013 counting only the distinct ones).

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

The spelling of 381156416256 in words is "three hundred eighty-one billion, one hundred fifty-six million, four hundred sixteen thousand, two hundred fifty-six".