15083218898944 has 117 divisors (see below), whose sum is σ = 35091334770897. Its totient is φ = 6463490998272.

The previous prime is 15083218898899. The next prime is 15083218898971. The reversal of 15083218898944 is 44989881238051.

It is a happy number.

The square root of 15083218898944 is 3883712.

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

15083218898944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6707519852544 + 8375699046400 = 2589888^2 + 2894080^2 .

It is a super-2 number, since 2×15083218898944² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1739898642 + ... + 1739907310.

Almost surely, 2^{15083218898944} is an apocalyptic number.

15083218898944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15083218898944 is the 3883712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15083218898944

15083218898944 is an abundant number, since it is smaller than the sum of its proper divisors (20008115871953).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15083218898944 is an frugal number, since it uses more digits than its factorization.

15083218898944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17376 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 70.

The spelling of 15083218898944 in words is "fifteen trillion, eighty-three billion, two hundred eighteen million, eight hundred ninety-eight thousand, nine hundred forty-four".