854576436144 has 160 divisors (see below), whose sum is σ = 2292639483904. Its totient is φ = 274116648960.

The previous prime is 854576436071. The next prime is 854576436209. The reversal of 854576436144 is 441634675458.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44636814 + ... + 44655954.

Almost surely, 2^854576436144 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 854576436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146319741952).

854576436144 is an abundant number, since it is smaller than the sum of its proper divisors (1438063047760).

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

854576436144 is a wasteful number, since it uses less digits than its factorization.

854576436144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19509 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 57.

The spelling of 854576436144 in words is "eight hundred fifty-four billion, five hundred seventy-six million, four hundred thirty-six thousand, one hundred forty-four".