83914052544 has 448 divisors, whose sum is σ = 287926272000. Its totient is φ = 23471078400.

The previous prime is 83914052533. The next prime is 83914052557. The reversal of 83914052544 is 44525041938.

83914052544 is a `hidden beast` number, since 8 + 391 + 4 + 0 + 5 + 254 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 83914052544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170904139 + ... + 170904629.

Almost surely, 2^83914052544 is an apocalyptic number.

83914052544 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 83914052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963136000).

83914052544 is an abundant number, since it is smaller than the sum of its proper divisors (204012219456).

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

83914052544 is a wasteful number, since it uses less digits than its factorization.

83914052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 83914052544 in words is "eighty-three billion, nine hundred fourteen million, fifty-two thousand, five hundred forty-four".