746926334001 has 27 divisors (see below), whose sum is σ = 1114939266987. Its totient is φ = 481836102480.

The previous prime is 746926333999. The next prime is 746926334003. The reversal of 746926334001 is 100433629647.

The square root of 746926334001 is 864249.

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

746926334001 is a `hidden beast` number, since 7 + 4 + 6 + 9 + 2 + 633 + 4 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (746926333999) and next prime (746926334003).

It can be written as a sum of positive squares in only one way, i.e., 56903717025 + 690022616976 = 238545^2 + 830676^2 .

It is not a de Polignac number, because 746926334001 - 2¹ = 746926333999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (746926334003) 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, 80370511 + ... + 80379803.

Almost surely, 2^746926334001 is an apocalyptic number.

746926334001 is the 864249-th square number.

746926334001 is the 432125-th centered octagonal number.

It is an amenable number.

746926334001 is a deficient number, since it is larger than the sum of its proper divisors (368012932986).

746926334001 is an frugal number, since it uses more digits than its factorization.

746926334001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 746926334001 in words is "seven hundred forty-six billion, nine hundred twenty-six million, three hundred thirty-four thousand, one".