83974244263800 has 96 divisors (see below), whose sum is σ = 283985626078080. Its totient is φ = 20357392547200.

The previous prime is 83974244263631. The next prime is 83974244263807. The reversal of 83974244263800 is 836244247938.

It is a happy number.

It is a super-3 number, since 3×83974244263800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83974244263807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6361678572 + ... + 6361691771.

It is an arithmetic number, because the mean of its divisors is an integer number (2958183604980).

Almost surely, 2^{83974244263800} is an apocalyptic number.

It is an amenable number.

83974244263800 is an abundant number, since it is smaller than the sum of its proper divisors (200011381814280).

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

83974244263800 is a wasteful number, since it uses less digits than its factorization.

83974244263800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723370373 (or 12723370364 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 83974244263800 in words is "eighty-three trillion, nine hundred seventy-four billion, two hundred forty-four million, two hundred sixty-three thousand, eight hundred".