15381442904256 has 896 divisors, whose sum is σ = 54763032683520. Its totient is φ = 4170623385600.

The previous prime is 15381442904251. The next prime is 15381442904281. The reversal of 15381442904256 is 65240924418351.

15381442904256 is a `hidden beast` number, since 1 + 5 + 381 + 4 + 4 + 2 + 9 + 0 + 4 + 256 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (15381442904251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2569137295 + ... + 2569143281.

It is an arithmetic number, because the mean of its divisors is an integer number (61119456120).

Almost surely, 2^{15381442904256} is an apocalyptic number.

15381442904256 is a gapful number since it is divisible by the number (16) 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 15381442904256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27381516341760).

15381442904256 is an abundant number, since it is smaller than the sum of its proper divisors (39381589779264).

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

15381442904256 is a wasteful number, since it uses less digits than its factorization.

15381442904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 15381442904256 in words is "fifteen trillion, three hundred eighty-one billion, four hundred forty-two million, nine hundred four thousand, two hundred fifty-six".