268136001333632 has 64 divisors (see below), whose sum is σ = 548730156391200. Its totient is φ = 130433708544000.

The previous prime is 268136001333623. The next prime is 268136001333659. The reversal of 268136001333632 is 236333100631862.

268136001333632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×268136001333632² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69276119 + ... + 73044182.

Almost surely, 2^{268136001333632} is an apocalyptic number.

It is an amenable number.

268136001333632 is an abundant number, since it is smaller than the sum of its proper divisors (280594155057568).

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

268136001333632 is a wasteful number, since it uses less digits than its factorization.

268136001333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142320715 (or 142320703 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 47.

The spelling of 268136001333632 in words is "two hundred sixty-eight trillion, one hundred thirty-six billion, one million, three hundred thirty-three thousand, six hundred thirty-two".