256146742188700 has 54 divisors (see below), whose sum is σ = 610962903029528. Its totient is φ = 93144269882400.

The previous prime is 256146742188613. The next prime is 256146742188721. The reversal of 256146742188700 is 7881247641652.

It is a happy number.

It is a super-3 number, since 3×256146742188700³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10584564024 + ... + 10584588223.

Almost surely, 2^{256146742188700} is an apocalyptic number.

256146742188700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256146742188700 is an abundant number, since it is smaller than the sum of its proper divisors (354816160840828).

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

256146742188700 is a wasteful number, since it uses less digits than its factorization.

256146742188700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169152283 (or 21169152265 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 256146742188700 in words is "two hundred fifty-six trillion, one hundred forty-six billion, seven hundred forty-two million, one hundred eighty-eight thousand, seven hundred".