83623444632 has 768 divisors, whose sum is σ = 312294528000. Its totient is φ = 20132997120.

The previous prime is 83623444627. The next prime is 83623444633. The reversal of 83623444632 is 23644432638.

It is a happy number.

83623444632 is a `hidden beast` number, since 8 + 3 + 6 + 2 + 3 + 4 + 4 + 4 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83623444633) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358898788 + ... + 358899020.

It is an arithmetic number, because the mean of its divisors is an integer number (406633500).

Almost surely, 2^83623444632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83623444632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156147264000).

83623444632 is an abundant number, since it is smaller than the sum of its proper divisors (228671083368).

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

83623444632 is a wasteful number, since it uses less digits than its factorization.

83623444632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 308 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 83623444632 in words is "eighty-three billion, six hundred twenty-three million, four hundred forty-four thousand, six hundred thirty-two".