256414946304 has 176 divisors, whose sum is σ = 746116761600. Its totient is φ = 77644554240.

The previous prime is 256414946287. The next prime is 256414946351. The reversal of 256414946304 is 403649414652.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81065427 + ... + 81068589.

Almost surely, 2^256414946304 is an apocalyptic number.

256414946304 is a gapful number since it is divisible by the number (24) 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 256414946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373058380800).

256414946304 is an abundant number, since it is smaller than the sum of its proper divisors (489701815296).

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

256414946304 is a wasteful number, since it uses less digits than its factorization.

256414946304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 256414946304 in words is "two hundred fifty-six billion, four hundred fourteen million, nine hundred forty-six thousand, three hundred four".