372345260401 has 9 divisors (see below), whose sum is σ = 380465363161. Its totient is φ = 364394951572.

The previous prime is 372345260387. The next prime is 372345260407. The reversal of 372345260401 is 104062543273.

The square root of 372345260401 is 610201.

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

It is not a de Polignac number, because 372345260401 - 2⁵ = 372345260369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (372345260407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28672956 + ... + 28685938.

Almost surely, 2^372345260401 is an apocalyptic number.

372345260401 is the 610201-st square number.

372345260401 is the 305101-st centered octagonal number.

It is an amenable number.

372345260401 is a deficient number, since it is larger than the sum of its proper divisors (8120102760).

372345260401 is an frugal number, since it uses more digits than its factorization.

372345260401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26060 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 372345260401 in words is "three hundred seventy-two billion, three hundred forty-five million, two hundred sixty thousand, four hundred one".