817451620224 has 128 divisors (see below), whose sum is σ = 2258513832960. Its totient is φ = 261680640000.

The previous prime is 817451620201. The next prime is 817451620243. The reversal of 817451620224 is 422026154718.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297324 + ... + 1821524.

It is an arithmetic number, because the mean of its divisors is an integer number (17644639320).

Almost surely, 2^817451620224 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 817451620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129256916480).

817451620224 is an abundant number, since it is smaller than the sum of its proper divisors (1441062212736).

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

817451620224 is a wasteful number, since it uses less digits than its factorization.

817451620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524380 (or 524368 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 817451620224 in words is "eight hundred seventeen billion, four hundred fifty-one million, six hundred twenty thousand, two hundred twenty-four".