82146310974 has 480 divisors, whose sum is σ = 242103202560. Its totient is φ = 20595871296.

The previous prime is 82146310973. The next prime is 82146310993. The reversal of 82146310974 is 47901364128.

82146310974 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 631 + 0 + 9 + 7 + 4 = 666.

It is a super-2 number, since 2×82146310974² (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 (82146310973) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 503965017 + ... + 503965179.

It is an arithmetic number, because the mean of its divisors is an integer number (504381672).

Almost surely, 2^82146310974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82146310974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121051601280).

82146310974 is an abundant number, since it is smaller than the sum of its proper divisors (159956891586).

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

82146310974 is a wasteful number, since it uses less digits than its factorization.

82146310974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82146310974 in words is "eighty-two billion, one hundred forty-six million, three hundred ten thousand, nine hundred seventy-four".