34168422456 has 896 divisors, whose sum is σ = 125913600000. Its totient is φ = 8641624320.

The previous prime is 34168422443. The next prime is 34168422461. The reversal of 34168422456 is 65422486143.

34168422456 is a `hidden beast` number, since 3 + 416 + 8 + 4 + 224 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1102207161 + ... + 1102207191.

Almost surely, 2^34168422456 is an apocalyptic number.

34168422456 is a gapful number since it is divisible by the number (36) 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 34168422456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62956800000).

34168422456 is an abundant number, since it is smaller than the sum of its proper divisors (91745177544).

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

34168422456 is a wasteful number, since it uses less digits than its factorization.

34168422456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 34168422456 in words is "thirty-four billion, one hundred sixty-eight million, four hundred twenty-two thousand, four hundred fifty-six".