83563919964 has 36 divisors (see below), whose sum is σ = 241406880624. Its totient is φ = 23875405632.

The previous prime is 83563919963. The next prime is 83563920001. The reversal of 83563919964 is 46991936538.

83563919964 is a `hidden beast` number, since 8 + 3 + 563 + 9 + 1 + 9 + 9 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×83563919964² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83563919963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165801177 + ... + 165801680.

It is an arithmetic number, because the mean of its divisors is an integer number (6705746684).

Almost surely, 2^83563919964 is an apocalyptic number.

83563919964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83563919964 is an abundant number, since it is smaller than the sum of its proper divisors (157842960660).

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

83563919964 is a wasteful number, since it uses less digits than its factorization.

83563919964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331602874 (or 331602869 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 83563919964 in words is "eighty-three billion, five hundred sixty-three million, nine hundred nineteen thousand, nine hundred sixty-four".