426868299456192 has 1792 divisors, whose sum is σ = 1492609794048000. Its totient is φ = 119817131765760.

The previous prime is 426868299456167. The next prime is 426868299456223. The reversal of 426868299456192 is 291654992868624.

426868299456192 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 68 + 2 + 99 + 456 + 19 + 2 = 666.

It is a super-3 number, since 3×426868299456192³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148269640609 + ... + 148269643487.

Almost surely, 2^{426868299456192} 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 426868299456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746304897024000).

426868299456192 is an abundant number, since it is smaller than the sum of its proper divisors (1065741494591808).

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

426868299456192 is a wasteful number, since it uses less digits than its factorization.

426868299456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3050 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

The spelling of 426868299456192 in words is "four hundred twenty-six trillion, eight hundred sixty-eight billion, two hundred ninety-nine million, four hundred fifty-six thousand, one hundred ninety-two".