68525267444001 has 27 divisors (see below), whose sum is σ = 103472433084657. Its totient is φ = 43696907761320.

The previous prime is 68525267443979. The next prime is 68525267444033. The reversal of 68525267444001 is 10044476252586.

The square root of 68525267444001 is 8277999.

It is a perfect power (a square), and thus also a powerful number.

68525267444001 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 526 + 74 + 4 + 40 + 0 + 1 = 666.

It is not a de Polignac number, because 68525267444001 - 2⁷ = 68525267443873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68525267442001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 571121946 + ... + 571241916.

Almost surely, 2^{68525267444001} is an apocalyptic number.

68525267444001 is the 8277999-th square number.

68525267444001 is the 4139000-th centered octagonal number.

It is an amenable number.

68525267444001 is a deficient number, since it is larger than the sum of its proper divisors (34947165640656).

68525267444001 is an frugal number, since it uses more digits than its factorization.

68525267444001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239994 (or 119997 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 68525267444001 in words is "sixty-eight trillion, five hundred twenty-five billion, two hundred sixty-seven million, four hundred forty-four thousand, one".