84233093661972 has 18 divisors (see below), whose sum is σ = 212922542312298. Its totient is φ = 28077697887312.

The previous prime is 84233093661923. The next prime is 84233093662073. The reversal of 84233093661972 is 27916639033248.

84233093661972 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 3 + 0 + 9 + 3 + 6 + 619 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83851125164676 + 381968497296 = 9157026^2 + 618036^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 1169904078603 + ... + 1169904078674.

It is an arithmetic number, because the mean of its divisors is an integer number (11829030128461).

Almost surely, 2^{84233093661972} is an apocalyptic number.

It is an amenable number.

84233093661972 is an abundant number, since it is smaller than the sum of its proper divisors (128689448650326).

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

84233093661972 is a wasteful number, since it uses less digits than its factorization.

84233093661972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339808157287 (or 2339808157282 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 84233093661972 in words is "eighty-four trillion, two hundred thirty-three billion, ninety-three million, six hundred sixty-one thousand, nine hundred seventy-two".