82749501438912 has 672 divisors, whose sum is σ = 307441791820800. Its totient is φ = 21087812229120.

The previous prime is 82749501438853. The next prime is 82749501438913. The reversal of 82749501438912 is 21983410594728.

82749501438912 is a `hidden beast` number, since 8 + 2 + 7 + 4 + 9 + 501 + 4 + 38 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 82749501438912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82749501438913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114822933 + ... + 115541355.

It is an arithmetic number, because the mean of its divisors is an integer number (457502666400).

Almost surely, 2^{82749501438912} 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 82749501438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153720895910400).

82749501438912 is an abundant number, since it is smaller than the sum of its proper divisors (224692290381888).

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

82749501438912 is a wasteful number, since it uses less digits than its factorization.

82749501438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718526 (or 718499 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 82749501438912 in words is "eighty-two trillion, seven hundred forty-nine billion, five hundred one million, four hundred thirty-eight thousand, nine hundred twelve".