851460046164 has 108 divisors (see below), whose sum is σ = 2696290218804. Its totient is φ = 224560885248.

The previous prime is 851460046133. The next prime is 851460046169. The reversal of 851460046164 is 461640064158.

It can be written as a sum of positive squares in 2 ways, for example, as 248709669264 + 602750376900 = 498708^2 + 776370^2 .

It is a super-2 number, since 2×851460046164² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851460046169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18541957 + ... + 18587820.

Almost surely, 2^851460046164 is an apocalyptic number.

851460046164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

851460046164 is an abundant number, since it is smaller than the sum of its proper divisors (1844830172640).

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

851460046164 is a wasteful number, since it uses less digits than its factorization.

851460046164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37129814 (or 37129802 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 851460046164 in words is "eight hundred fifty-one billion, four hundred sixty million, forty-six thousand, one hundred sixty-four".