268136001614952 has 224 divisors, whose sum is σ = 778155210312960. Its totient is φ = 86489726400000.

The previous prime is 268136001614947. The next prime is 268136001614963. The reversal of 268136001614952 is 259416100631862.

268136001614952 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 600 + 16 + 14 + 9 + 5 + 2 = 666.

268136001614952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3341176827 + ... + 3341257077.

Almost surely, 2^{268136001614952} 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 268136001614952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389077605156480).

268136001614952 is an abundant number, since it is smaller than the sum of its proper divisors (510019208698008).

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

268136001614952 is a wasteful number, since it uses less digits than its factorization.

268136001614952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98787 (or 98768 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 268136001614952 in words is "two hundred sixty-eight trillion, one hundred thirty-six billion, one million, six hundred fourteen thousand, nine hundred fifty-two".