264495218056128 has 224 divisors, whose sum is σ = 790393784248640. Its totient is φ = 86710984704000.

The previous prime is 264495218056009. The next prime is 264495218056259. The reversal of 264495218056128 is 821650812594462.

264495218056128 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 9 + 5 + 2 + 1 + 8 + 0 + 5 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087794408 + ... + 1088037528.

Almost surely, 2^{264495218056128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264495218056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395196892124320).

264495218056128 is an abundant number, since it is smaller than the sum of its proper divisors (525898566192512).

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

264495218056128 is a wasteful number, since it uses less digits than its factorization.

264495218056128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253524 (or 253508 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 264495218056128 in words is "two hundred sixty-four trillion, four hundred ninety-five billion, two hundred eighteen million, fifty-six thousand, one hundred twenty-eight".