426851158624 has 96 divisors (see below), whose sum is σ = 921053693952. Its totient is φ = 193116096000.

The previous prime is 426851158609. The next prime is 426851158661.

426851158624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×426851158624³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125875969 + ... + 125879359.

It is an arithmetic number, because the mean of its divisors is an integer number (9594309312).

Almost surely, 2^426851158624 is an apocalyptic number.

426851158624 is a gapful number since it is divisible by the number (44) 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 426851158624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460526846976).

426851158624 is an abundant number, since it is smaller than the sum of its proper divisors (494202535328).

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

426851158624 is a wasteful number, since it uses less digits than its factorization.

426851158624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4972 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 426851158624 in words is "four hundred twenty-six billion, eight hundred fifty-one million, one hundred fifty-eight thousand, six hundred twenty-four".