82935334944 has 1440 divisors, whose sum is σ = 337875753600. Its totient is φ = 19670999040.

The previous prime is 82935334919. The next prime is 82935334961. The reversal of 82935334944 is 44943353928.

82935334944 is a `hidden beast` number, since 8 + 29 + 3 + 533 + 49 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 931857652 + ... + 931857740.

It is an arithmetic number, because the mean of its divisors is an integer number (234635940).

Almost surely, 2^82935334944 is an apocalyptic number.

82935334944 is a gapful number since it is divisible by the number (84) 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 82935334944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168937876800).

82935334944 is an abundant number, since it is smaller than the sum of its proper divisors (254940418656).

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

82935334944 is a wasteful number, since it uses less digits than its factorization.

82935334944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 82935334944 in words is "eighty-two billion, nine hundred thirty-five million, three hundred thirty-four thousand, nine hundred forty-four".