83234291712 has 512 divisors, whose sum is σ = 270578810880. Its totient is φ = 22413312000.

The previous prime is 83234291663. The next prime is 83234291741. The reversal of 83234291712 is 21719243238.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435781537 + ... + 435781727.

It is an arithmetic number, because the mean of its divisors is an integer number (528474240).

Almost surely, 2^83234291712 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 83234291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135289405440).

83234291712 is an abundant number, since it is smaller than the sum of its proper divisors (187344519168).

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

83234291712 is a wasteful number, since it uses less digits than its factorization.

83234291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 83234291712 in words is "eighty-three billion, two hundred thirty-four million, two hundred ninety-one thousand, seven hundred twelve".