15338574801 has 81 divisors (see below), whose sum is σ = 25471588233. Its totient is φ = 9229227480.

The previous prime is 15338574781. The next prime is 15338574893. The reversal of 15338574801 is 10847583351.

It is a happy number.

The square root of 15338574801 is 123849.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 15338574801 - 2¹⁵ = 15338542033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15338570801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110349390 + ... + 110349528.

Almost surely, 2^15338574801 is an apocalyptic number.

15338574801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15338574801 is the 123849-th square number.

15338574801 is the 61925-th centered octagonal number.

It is an amenable number.

15338574801 is a deficient number, since it is larger than the sum of its proper divisors (10133013432).

15338574801 is an frugal number, since it uses more digits than its factorization.

15338574801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 15338574801 in words is "fifteen billion, three hundred thirty-eight million, five hundred seventy-four thousand, eight hundred one".