15222657456 has 320 divisors, whose sum is σ = 47015562240. Its totient is φ = 4704860160.

The previous prime is 15222657449. The next prime is 15222657529. The reversal of 15222657456 is 65475622251.

15222657456 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 26 + 574 + 56 = 666.

15222657456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 72145191 + ... + 72145401.

It is an arithmetic number, because the mean of its divisors is an integer number (146923632).

Almost surely, 2^15222657456 is an apocalyptic number.

15222657456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15222657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23507781120).

15222657456 is an abundant number, since it is smaller than the sum of its proper divisors (31792904784).

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

15222657456 is a wasteful number, since it uses less digits than its factorization.

15222657456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 15222657456 in words is "fifteen billion, two hundred twenty-two million, six hundred fifty-seven thousand, four hundred fifty-six".