83249422956 has 216 divisors, whose sum is σ = 249448303104. Its totient is φ = 22919682240.

The previous prime is 83249422951. The next prime is 83249422961. The reversal of 83249422956 is 65922494238.

83249422956 is a `hidden beast` number, since 8 + 324 + 94 + 229 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (83249422951) and next prime (83249422961).

It is not an unprimeable number, because it can be changed into a prime (83249422951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67626861 + ... + 67628091.

Almost surely, 2^83249422956 is an apocalyptic number.

83249422956 is a gapful number since it is divisible by the number (86) 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 83249422956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124724151552).

83249422956 is an abundant number, since it is smaller than the sum of its proper divisors (166198880148).

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

83249422956 is a wasteful number, since it uses less digits than its factorization.

83249422956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1365 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 83249422956 in words is "eighty-three billion, two hundred forty-nine million, four hundred twenty-two thousand, nine hundred fifty-six".