83622103488 has 560 divisors, whose sum is σ = 327253665024. Its totient is φ = 20440719360.

The previous prime is 83622103427. The next prime is 83622103489. The reversal of 83622103488 is 88430122638.

83622103488 is a `hidden beast` number, since 8 + 3 + 62 + 2 + 103 + 488 = 666.

It is a super-2 number, since 2×83622103488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83622103489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6779695 + ... + 6792017.

Almost surely, 2^83622103488 is an apocalyptic number.

83622103488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83622103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163626832512).

83622103488 is an abundant number, since it is smaller than the sum of its proper divisors (243631561536).

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

83622103488 is a wasteful number, since it uses less digits than its factorization.

83622103488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83622103488 in words is "eighty-three billion, six hundred twenty-two million, one hundred three thousand, four hundred eighty-eight".