848152166400 has 2040 divisors, whose sum is σ = 3964643996544. Its totient is φ = 174116044800.

The previous prime is 848152166387. The next prime is 848152166413. The reversal of 848152166400 is 4661251848.

It is a happy number.

848152166400 is a `hidden beast` number, since 8 + 4 + 81 + 5 + 2 + 166 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (848152166387) and next prime (848152166413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10218700759 + ... + 10218700841.

Almost surely, 2^848152166400 is an apocalyptic number.

848152166400 is a gapful number since it is divisible by the number (80) 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 848152166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982321998272).

848152166400 is an abundant number, since it is smaller than the sum of its proper divisors (3116491830144).

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

848152166400 is an equidigital number, since it uses as much as digits as its factorization.

848152166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 848152166400 in words is "eight hundred forty-eight billion, one hundred fifty-two million, one hundred sixty-six thousand, four hundred".