83146031408 has 80 divisors (see below), whose sum is σ = 188169518880. Its totient is φ = 35170713600.

The previous prime is 83146031393. The next prime is 83146031413. The reversal of 83146031408 is 80413064138.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110168 + ... + 422408.

It is an arithmetic number, because the mean of its divisors is an integer number (2352118986).

Almost surely, 2^83146031408 is an apocalyptic number.

83146031408 is a gapful number since it is divisible by the number (88) 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 83146031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94084759440).

83146031408 is an abundant number, since it is smaller than the sum of its proper divisors (105023487472).

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

83146031408 is a wasteful number, since it uses less digits than its factorization.

83146031408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312366 (or 312360 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 83146031408 in words is "eighty-three billion, one hundred forty-six million, thirty-one thousand, four hundred eight".