255344034816 has 264 divisors, whose sum is σ = 801341300760. Its totient is φ = 77842612224.

The previous prime is 255344034787. The next prime is 255344034821. The reversal of 255344034816 is 618430443552.

255344034816 is a `hidden beast` number, since 2 + 5 + 534 + 4 + 0 + 34 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56499388416 + 198844646400 = 237696^2 + 445920^2 .

It is a super-2 number, since 2×255344034816² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13049296 + ... + 13068848.

It is an arithmetic number, because the mean of its divisors is an integer number (3035383715).

Almost surely, 2^255344034816 is an apocalyptic number.

255344034816 is a gapful number since it is divisible by the number (26) 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 255344034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400670650380).

255344034816 is an abundant number, since it is smaller than the sum of its proper divisors (545997265944).

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

255344034816 is a wasteful number, since it uses less digits than its factorization.

255344034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19701 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 255344034816 in words is "two hundred fifty-five billion, three hundred forty-four million, thirty-four thousand, eight hundred sixteen".