91476607401 has 27 divisors (see below), whose sum is σ = 133105895013. Its totient is φ = 60538592160.

The previous prime is 91476607399. The next prime is 91476607471. The reversal of 91476607401 is 10470667419.

The square root of 91476607401 is 302451.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77214515625 + 14262091776 = 277875^2 + 119424^2 .

It is not a de Polignac number, because 91476607401 - 2¹ = 91476607399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91476607471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164230615 + ... + 164231171.

Almost surely, 2^91476607401 is an apocalyptic number.

91476607401 is the 302451-st square number.

91476607401 is the 151226-th centered octagonal number.

It is an amenable number.

91476607401 is a deficient number, since it is larger than the sum of its proper divisors (41629287612).

91476607401 is an frugal number, since it uses more digits than its factorization.

91476607401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 91476607401 in words is "ninety-one billion, four hundred seventy-six million, six hundred seven thousand, four hundred one".