851416512 has 112 divisors (see below), whose sum is σ = 2319601152. Its totient is φ = 275466240.

The previous prime is 851416493. The next prime is 851416513. The reversal of 851416512 is 215614158.

It is a super-2 number, since 2×851416512² = 1449820153812492288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851416513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319753 + ... + 2320119.

Almost surely, 2^851416512 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 851416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159800576).

851416512 is an abundant number, since it is smaller than the sum of its proper divisors (1468184640).

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

851416512 is a wasteful number, since it uses less digits than its factorization.

851416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 851416512 is about 29179.0423420646. The cubic root of 851416512 is about 947.7941478299.

The spelling of 851416512 in words is "eight hundred fifty-one million, four hundred sixteen thousand, five hundred twelve".