83305147203864 has 48 divisors (see below), whose sum is σ = 225619354771200. Its totient is φ = 27768228830784.

The previous prime is 83305147203827. The next prime is 83305147203919. The reversal of 83305147203864 is 46830274150338.

It is a happy number.

83305147203864 is a `hidden beast` number, since 8 + 3 + 30 + 51 + 472 + 0 + 38 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83305147203864.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10302942 + ... + 16515474.

It is an arithmetic number, because the mean of its divisors is an integer number (4700403224400).

Almost surely, 2^{83305147203864} is an apocalyptic number.

It is an amenable number.

83305147203864 is an abundant number, since it is smaller than the sum of its proper divisors (142314207567336).

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

83305147203864 is a wasteful number, since it uses less digits than its factorization.

83305147203864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398784 (or 6398777 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 83305147203864 in words is "eighty-three trillion, three hundred five billion, one hundred forty-seven million, two hundred three thousand, eight hundred sixty-four".