854914744320 has 1440 divisors, whose sum is σ = 3534381785088. Its totient is φ = 174795522048.

The previous prime is 854914744259. The next prime is 854914744339. The reversal of 854914744320 is 23447419458.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6731612097 + ... + 6731612223.

Almost surely, 2^854914744320 is an apocalyptic number.

854914744320 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 854914744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767190892544).

854914744320 is an abundant number, since it is smaller than the sum of its proper divisors (2679467040768).

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

854914744320 is a wasteful number, since it uses less digits than its factorization.

854914744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 854914744320 in words is "eight hundred fifty-four billion, nine hundred fourteen million, seven hundred forty-four thousand, three hundred twenty".