83746858253472 has 216 divisors, whose sum is σ = 254980385726976. Its totient is φ = 26066642724864.

The previous prime is 83746858253467. The next prime is 83746858253479. The reversal of 83746858253472 is 27435285864738.

83746858253472 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 6 + 8 + 5 + 82 + 534 + 7 + 2 = 666.

83746858253472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 83746858253472.

It is not an unprimeable number, because it can be changed into a prime (83746858253479) 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 35 ways as a sum of consecutive naturals, for example, 6609103 + ... + 14531825.

It is an arithmetic number, because the mean of its divisors is an integer number (1180464748736).

Almost surely, 2^{83746858253472} 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 83746858253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127490192863488).

83746858253472 is an abundant number, since it is smaller than the sum of its proper divisors (171233527473504).

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

83746858253472 is a wasteful number, since it uses less digits than its factorization.

83746858253472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922900 (or 7922872 counting only the distinct ones).

The product of its digits is 2167603200, while the sum is 72.

The spelling of 83746858253472 in words is "eighty-three trillion, seven hundred forty-six billion, eight hundred fifty-eight million, two hundred fifty-three thousand, four hundred seventy-two".