834930952416 has 240 divisors, whose sum is σ = 2681429401728. Its totient is φ = 252755078400.

The previous prime is 834930952397. The next prime is 834930952417. The reversal of 834930952416 is 614259039438.

834930952416 is a `hidden beast` number, since 83 + 4 + 9 + 30 + 9 + 524 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834930952417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29381671 + ... + 29410073.

Almost surely, 2^834930952416 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 834930952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340714700864).

834930952416 is an abundant number, since it is smaller than the sum of its proper divisors (1846498449312).

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

834930952416 is a wasteful number, since it uses less digits than its factorization.

834930952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29467 (or 29450 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 834930952416 in words is "eight hundred thirty-four billion, nine hundred thirty million, nine hundred fifty-two thousand, four hundred sixteen".