84393472868352 has 180 divisors, whose sum is σ = 244053769855896. Its totient is φ = 28101405573120.

The previous prime is 84393472868303. The next prime is 84393472868389. The reversal of 84393472868352 is 25386827439348.

84393472868352 is a `hidden beast` number, since 8 + 4 + 3 + 93 + 472 + 8 + 68 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139338652 + ... + 139943012.

Almost surely, 2^{84393472868352} 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 84393472868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122026884927948).

84393472868352 is an abundant number, since it is smaller than the sum of its proper divisors (159660296987544).

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

84393472868352 is an equidigital number, since it uses as much as digits as its factorization.

84393472868352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605342 (or 605313 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 84393472868352 in words is "eighty-four trillion, three hundred ninety-three billion, four hundred seventy-two million, eight hundred sixty-eight thousand, three hundred fifty-two".