83431441704 has 128 divisors (see below), whose sum is σ = 226465505280. Its totient is φ = 25461216000.

The previous prime is 83431441697. The next prime is 83431441711. The reversal of 83431441704 is 40714413438.

It is an interprime number because it is at equal distance from previous prime (83431441697) and next prime (83431441711).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 46687099 + ... + 46688885.

It is an arithmetic number, because the mean of its divisors is an integer number (1769261760).

Almost surely, 2^83431441704 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 83431441704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113232752640).

83431441704 is an abundant number, since it is smaller than the sum of its proper divisors (143034063576).

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

83431441704 is a wasteful number, since it uses less digits than its factorization.

83431441704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 83431441704 in words is "eighty-three billion, four hundred thirty-one million, four hundred forty-one thousand, seven hundred four".