256432488312 has 512 divisors, whose sum is σ = 906780672000. Its totient is φ = 59490547200.

The previous prime is 256432488311. The next prime is 256432488401. The reversal of 256432488312 is 213884234652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256432488311) 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, 36488943 + ... + 36495969.

It is an arithmetic number, because the mean of its divisors is an integer number (1771056000).

Almost surely, 2^256432488312 is an apocalyptic number.

256432488312 is a gapful number since it is divisible by the number (22) 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 256432488312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453390336000).

256432488312 is an abundant number, since it is smaller than the sum of its proper divisors (650348183688).

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

256432488312 is a wasteful number, since it uses less digits than its factorization.

256432488312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7094 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 256432488312 in words is "two hundred fifty-six billion, four hundred thirty-two million, four hundred eighty-eight thousand, three hundred twelve".