8464642228224 has 3600 divisors, whose sum is σ = 36448312158720. Its totient is φ = 1926317998080.

The previous prime is 8464642228181. The next prime is 8464642228247. The reversal of 8464642228224 is 4228222464648.

8464642228224 is a `hidden beast` number, since 8 + 464 + 64 + 2 + 22 + 82 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 273052975089 + ... + 273052975119.

Almost surely, 2^{8464642228224} is an apocalyptic number.

8464642228224 is a gapful number since it is divisible by the number (84) 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 8464642228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224156079360).

8464642228224 is an abundant number, since it is smaller than the sum of its proper divisors (27983669930496).

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

8464642228224 is a wasteful number, since it uses less digits than its factorization.

8464642228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 54.

The spelling of 8464642228224 in words is "eight trillion, four hundred sixty-four billion, six hundred forty-two million, two hundred twenty-eight thousand, two hundred twenty-four".