5352414021864 has 768 divisors, whose sum is σ = 18374013665280. Its totient is φ = 1370287134720.

The previous prime is 5352414021859. The next prime is 5352414021881. The reversal of 5352414021864 is 4681204142535.

5352414021864 is a `hidden beast` number, since 5 + 3 + 52 + 414 + 0 + 2 + 186 + 4 = 666.

It is a super-2 number, since 2×5352414021864² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14584234209 + ... + 14584234575.

It is an arithmetic number, because the mean of its divisors is an integer number (23924496960).

Almost surely, 2^{5352414021864} 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 5352414021864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187006832640).

5352414021864 is an abundant number, since it is smaller than the sum of its proper divisors (13021599643416).

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

5352414021864 is a wasteful number, since it uses less digits than its factorization.

5352414021864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5352414021864 in words is "five trillion, three hundred fifty-two billion, four hundred fourteen million, twenty-one thousand, eight hundred sixty-four".