34492023853056 has 2184 divisors, whose sum is σ = 135945915602400. Its totient is φ = 8638332272640.

The previous prime is 34492023853019. The next prime is 34492023853087. The reversal of 34492023853056 is 65035832029443.

34492023853056 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 20 + 2 + 38 + 530 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34492023852993 and 34492023853011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 46673915535 + ... + 46673916273.

Almost surely, 2^{34492023853056} is an apocalyptic number.

34492023853056 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 34492023853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67972957801200).

34492023853056 is an abundant number, since it is smaller than the sum of its proper divisors (101453891749344).

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

34492023853056 is an equidigital number, since it uses as much as digits as its factorization.

34492023853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 34492023853056 in words is "thirty-four trillion, four hundred ninety-two billion, twenty-three million, eight hundred fifty-three thousand, fifty-six".