15249286144 has 99 divisors (see below), whose sum is σ = 32525599753. Its totient is φ = 7144521728.

The previous prime is 15249286141. The next prime is 15249286147. The reversal of 15249286144 is 44168294251.

The square root of 15249286144 is 123488.

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

It is an interprime number because it is at equal distance from previous prime (15249286141) and next prime (15249286147).

It can be written as a sum of positive squares in only one way, i.e., 11872281600 + 3377004544 = 108960^2 + 58112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15249286094 and 15249286103.

It is not an unprimeable number, because it can be changed into a prime (15249286141) 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, 67177359 + ... + 67177585.

Almost surely, 2^15249286144 is an apocalyptic number.

15249286144 is the 123488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15249286144

15249286144 is an abundant number, since it is smaller than the sum of its proper divisors (17276313609).

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

15249286144 is an frugal number, since it uses more digits than its factorization.

15249286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 246 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 15249286144 in words is "fifteen billion, two hundred forty-nine million, two hundred eighty-six thousand, one hundred forty-four".