834309493632 has 256 divisors, whose sum is σ = 2546852198400. Its totient is φ = 268597555200.

The previous prime is 834309493583. The next prime is 834309493687. The reversal of 834309493632 is 236394903438.

834309493632 is a `hidden beast` number, since 8 + 3 + 430 + 94 + 93 + 6 + 32 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55810383 + ... + 55825329.

It is an arithmetic number, because the mean of its divisors is an integer number (9948641400).

Almost surely, 2^834309493632 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 834309493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273426099200).

834309493632 is an abundant number, since it is smaller than the sum of its proper divisors (1712542704768).

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

834309493632 is a wasteful number, since it uses less digits than its factorization.

834309493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15522 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 834309493632 in words is "eight hundred thirty-four billion, three hundred nine million, four hundred ninety-three thousand, six hundred thirty-two".