845216576400 has 480 divisors, whose sum is σ = 3238832130048. Its totient is φ = 184220467200.

The previous prime is 845216576387. The next prime is 845216576401. The reversal of 845216576400 is 4675612548.

It is a super-2 number, since 2×845216576400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 845216576400.

It is not an unprimeable number, because it can be changed into a prime (845216576401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63942592 + ... + 63955808.

Almost surely, 2^845216576400 is an apocalyptic number.

845216576400 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 845216576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619416065024).

845216576400 is an abundant number, since it is smaller than the sum of its proper divisors (2393615553648).

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

845216576400 is a wasteful number, since it uses less digits than its factorization.

845216576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599 (or 13588 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 845216576400 in words is "eight hundred forty-five billion, two hundred sixteen million, five hundred seventy-six thousand, four hundred".