82840032144 has 60 divisors (see below), whose sum is σ = 241916915136. Its totient is φ = 26412762816.

The previous prime is 82840032133. The next prime is 82840032151. The reversal of 82840032144 is 44123004828.

82840032144 is a `hidden beast` number, since 82 + 8 + 400 + 32 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82840032099 and 82840032108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12502732 + ... + 12509355.

Almost surely, 2^82840032144 is an apocalyptic number.

It is an amenable number.

82840032144 is an abundant number, since it is smaller than the sum of its proper divisors (159076882992).

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

82840032144 is a wasteful number, since it uses less digits than its factorization.

82840032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25012124 (or 25012115 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 82840032144 in words is "eighty-two billion, eight hundred forty million, thirty-two thousand, one hundred forty-four".