83345369452800 has 1296 divisors, whose sum is σ = 346030885105920. Its totient is φ = 17510765690880.

The previous prime is 83345369452783. The next prime is 83345369452817. The reversal of 83345369452800 is 825496354338.

It is an interprime number because it is at equal distance from previous prime (83345369452783) and next prime (83345369452817).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2923051344 + ... + 2923079856.

Almost surely, 2^{83345369452800} is an apocalyptic number.

83345369452800 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 83345369452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173015442552960).

83345369452800 is an abundant number, since it is smaller than the sum of its proper divisors (262685515653120).

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

83345369452800 is a wasteful number, since it uses less digits than its factorization.

83345369452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28808 (or 28782 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 83345369452800 in words is "eighty-three trillion, three hundred forty-five billion, three hundred sixty-nine million, four hundred fifty-two thousand, eight hundred".