90872705401 has 9 divisors (see below), whose sum is σ = 91312220559. Its totient is φ = 90435300000.

The previous prime is 90872705387. The next prime is 90872705467. The reversal of 90872705401 is 10450727809.

The square root of 90872705401 is 301451.

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

It can be written as a sum of positive squares in only one way, i.e., 151265401 + 90721440000 = 12299^2 + 301200^2 .

It is not a de Polignac number, because 90872705401 - 2⁹ = 90872704889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90872705201) 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, 75663601 + ... + 75664801.

Almost surely, 2^90872705401 is an apocalyptic number.

90872705401 is the 301451-st square number.

90872705401 is the 150726-th centered octagonal number.

It is an amenable number.

90872705401 is a deficient number, since it is larger than the sum of its proper divisors (439515158).

90872705401 is an frugal number, since it uses more digits than its factorization.

90872705401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 90872705401 in words is "ninety billion, eight hundred seventy-two million, seven hundred five thousand, four hundred one".