15116948401 has 9 divisors (see below), whose sum is σ = 15541233771. Its totient is φ = 14703955992.

The previous prime is 15116948387. The next prime is 15116948423. The reversal of 15116948401 is 10484961151.

The square root of 15116948401 is 122951.

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., 13526853025 + 1590095376 = 116305^2 + 39876^2 .

It is not a de Polignac number, because 15116948401 - 2¹⁷ = 15116817329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15116948491) 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, 4547526 + ... + 4550848.

Almost surely, 2^15116948401 is an apocalyptic number.

15116948401 is the 122951-st square number.

15116948401 is the 61476-th centered octagonal number.

It is an amenable number.

15116948401 is a deficient number, since it is larger than the sum of its proper divisors (424285370).

15116948401 is an frugal number, since it uses more digits than its factorization.

15116948401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 15116948401 in words is "fifteen billion, one hundred sixteen million, nine hundred forty-eight thousand, four hundred one".