83941090968 has 256 divisors, whose sum is σ = 253683302400. Its totient is φ = 22643089920.

The previous prime is 83941090963. The next prime is 83941090979. The reversal of 83941090968 is 86909014938.

It is a super-2 number, since 2×83941090968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83941090963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38032921 + ... + 38035127.

It is an arithmetic number, because the mean of its divisors is an integer number (990950400).

Almost surely, 2^83941090968 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 83941090968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126841651200).

83941090968 is an abundant number, since it is smaller than the sum of its proper divisors (169742211432).

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

83941090968 is a wasteful number, since it uses less digits than its factorization.

83941090968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 83941090968 in words is "eighty-three billion, nine hundred forty-one million, ninety thousand, nine hundred sixty-eight".