834149992800 has 432 divisors, whose sum is σ = 2943143782992. Its totient is φ = 205029273600.

The previous prime is 834149992787. The next prime is 834149992847. The reversal of 834149992800 is 8299941438.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32043790 + ... + 32069810.

It is an arithmetic number, because the mean of its divisors is an integer number (6812832831).

Almost surely, 2^834149992800 is an apocalyptic number.

834149992800 is a gapful number since it is divisible by the number (80) 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 834149992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471571891496).

834149992800 is an abundant number, since it is smaller than the sum of its proper divisors (2108993790192).

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

834149992800 is a wasteful number, since it uses less digits than its factorization.

834149992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26119 (or 26087 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 834149992800 in words is "eight hundred thirty-four billion, one hundred forty-nine million, nine hundred ninety-two thousand, eight hundred".