426634851168 has 240 divisors, whose sum is σ = 1303384808880. Its totient is φ = 137301889536.

The previous prime is 426634851077. The next prime is 426634851221. The reversal of 426634851168 is 861158436624.

426634851168 is a `hidden beast` number, since 4 + 2 + 6 + 63 + 4 + 8 + 511 + 68 = 666.

It is a super-2 number, since 2×426634851168² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18254146 + ... + 18277502.

It is an arithmetic number, because the mean of its divisors is an integer number (5430770037).

Almost surely, 2^426634851168 is an apocalyptic number.

426634851168 is a gapful number since it is divisible by the number (48) 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 426634851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651692404440).

426634851168 is an abundant number, since it is smaller than the sum of its proper divisors (876749957712).

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

426634851168 is an frugal number, since it uses more digits than its factorization.

426634851168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23423 (or 23391 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 426634851168 in words is "four hundred twenty-six billion, six hundred thirty-four million, eight hundred fifty-one thousand, one hundred sixty-eight".