82931464350 has 288 divisors, whose sum is σ = 261168450816. Its totient is φ = 18475776000.

The previous prime is 82931464331. The next prime is 82931464351. The reversal of 82931464350 is 5346413928.

82931464350 is a `hidden beast` number, since 8 + 293 + 1 + 4 + 6 + 4 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 82931464296 and 82931464305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82931464351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20469825 + ... + 20473875.

Almost surely, 2^82931464350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82931464350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130584225408).

82931464350 is an abundant number, since it is smaller than the sum of its proper divisors (178236986466).

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

82931464350 is a wasteful number, since it uses less digits than its factorization.

82931464350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 82931464350 in words is "eighty-two billion, nine hundred thirty-one million, four hundred sixty-four thousand, three hundred fifty".