215472656448 has 504 divisors, whose sum is σ = 764299411200. Its totient is φ = 57669083136.

The previous prime is 215472656447. The next prime is 215472656449. The reversal of 215472656448 is 844656274512.

215472656448 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 72 + 6 + 564 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (215472656447) and next prime (215472656449).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 215472656394 and 215472656403.

It is not an unprimeable number, because it can be changed into a prime (215472656447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114673173 + ... + 114675051.

Almost surely, 2^215472656448 is an apocalyptic number.

215472656448 is a gapful number since it is divisible by the number (28) 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 215472656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382149705600).

215472656448 is an abundant number, since it is smaller than the sum of its proper divisors (548826754752).

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

215472656448 is a wasteful number, since it uses less digits than its factorization.

215472656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2147 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 215472656448 in words is "two hundred fifteen billion, four hundred seventy-two million, six hundred fifty-six thousand, four hundred forty-eight".