854168900234496 has 1152 divisors, whose sum is σ = 2931001090375680. Its totient is φ = 216212693114880.

The previous prime is 854168900234431. The next prime is 854168900234497. The reversal of 854168900234496 is 694432009861458.

It is a self number, because there is not a number n which added to its sum of digits gives 854168900234496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854168900234497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80377231935 + ... + 80377242561.

It is an arithmetic number, because the mean of its divisors is an integer number (2544271779840).

Almost surely, 2^{854168900234496} 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 854168900234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465500545187840).

854168900234496 is an abundant number, since it is smaller than the sum of its proper divisors (2076832190141184).

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

854168900234496 is a wasteful number, since it uses less digits than its factorization.

854168900234496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 854168900234496 in words is "eight hundred fifty-four trillion, one hundred sixty-eight billion, nine hundred million, two hundred thirty-four thousand, four hundred ninety-six".