83292313104 has 720 divisors, whose sum is σ = 318547861632. Its totient is φ = 19768320000.

The previous prime is 83292313103. The next prime is 83292313109. The reversal of 83292313104 is 40131329238.

83292313104 is a `hidden beast` number, since 8 + 329 + 2 + 313 + 10 + 4 = 666.

It is a super-2 number, since 2×83292313104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83292313103) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 207711304 + ... + 207711704.

Almost surely, 2^83292313104 is an apocalyptic number.

83292313104 is a gapful number since it is divisible by the number (84) 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 83292313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159273930816).

83292313104 is an abundant number, since it is smaller than the sum of its proper divisors (235255548528).

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

83292313104 is a wasteful number, since it uses less digits than its factorization.

83292313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 83292313104 in words is "eighty-three billion, two hundred ninety-two million, three hundred thirteen thousand, one hundred four".