215428469025456 has 640 divisors, whose sum is σ = 662250641817600. Its totient is φ = 66856503168000.

The previous prime is 215428469025443. The next prime is 215428469025481. The reversal of 215428469025456 is 654520964824512.

215428469025456 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 2 + 84 + 6 + 9 + 0 + 2 + 545 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 215428469025393 and 215428469025402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66265291831 + ... + 66265295081.

It is an arithmetic number, because the mean of its divisors is an integer number (1034766627840).

Almost surely, 2^{215428469025456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215428469025456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331125320908800).

215428469025456 is an abundant number, since it is smaller than the sum of its proper divisors (446822172792144).

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

215428469025456 is a wasteful number, since it uses less digits than its factorization.

215428469025456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 215428469025456 in words is "two hundred fifteen trillion, four hundred twenty-eight billion, four hundred sixty-nine million, twenty-five thousand, four hundred fifty-six".