816957144000 has 896 divisors, whose sum is σ = 3177305913600. Its totient is φ = 205148160000.

The previous prime is 816957143987. The next prime is 816957144071. The reversal of 816957144000 is 441759618.

816957144000 is a `hidden beast` number, since 81 + 69 + 5 + 71 + 440 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 256822410 + ... + 256825590.

It is an arithmetic number, because the mean of its divisors is an integer number (3546100350).

Almost surely, 2^816957144000 is an apocalyptic number.

816957144000 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 816957144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588652956800).

816957144000 is an abundant number, since it is smaller than the sum of its proper divisors (2360348769600).

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

816957144000 is a wasteful number, since it uses less digits than its factorization.

816957144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 816957144000 in words is "eight hundred sixteen billion, nine hundred fifty-seven million, one hundred forty-four thousand".