15456220416 has 360 divisors, whose sum is σ = 56730189824. Its totient is φ = 4075868160.

The previous prime is 15456220397. The next prime is 15456220447. The reversal of 15456220416 is 61402265451.

15456220416 is a `hidden beast` number, since 1 + 54 + 562 + 2 + 0 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1882881 + ... + 1891071.

Almost surely, 2^15456220416 is an apocalyptic number.

15456220416 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 15456220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365094912).

15456220416 is an abundant number, since it is smaller than the sum of its proper divisors (41273969408).

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

15456220416 is an equidigital number, since it uses as much as digits as its factorization.

15456220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 15456220416 its reverse (61402265451), we get a palindrome (76858485867).

The spelling of 15456220416 in words is "fifteen billion, four hundred fifty-six million, two hundred twenty thousand, four hundred sixteen".