859145306304 has 224 divisors, whose sum is σ = 2417376602880. Its totient is φ = 268528877568.

The previous prime is 859145306297. The next prime is 859145306311. The reversal of 859145306304 is 403603541958.

It is an interprime number because it is at equal distance from previous prime (859145306297) and next prime (859145306311).

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

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, 491782359 + ... + 491784105.

Almost surely, 2^859145306304 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 859145306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208688301440).

859145306304 is an abundant number, since it is smaller than the sum of its proper divisors (1558231296576).

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

859145306304 is a wasteful number, since it uses less digits than its factorization.

859145306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 859145306304 in words is "eight hundred fifty-nine billion, one hundred forty-five million, three hundred six thousand, three hundred four".