83015749152 has 480 divisors, whose sum is σ = 295884610560. Its totient is φ = 22327695360.

The previous prime is 83015749133. The next prime is 83015749153. The reversal of 83015749152 is 25194751038.

83015749152 is a `hidden beast` number, since 8 + 3 + 0 + 157 + 491 + 5 + 2 = 666.

It is a super-2 number, since 2×83015749152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83015749098 and 83015749107.

It is not an unprimeable number, because it can be changed into a prime (83015749153) 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 79 ways as a sum of consecutive naturals, for example, 20809174 + ... + 20813162.

It is an arithmetic number, because the mean of its divisors is an integer number (616426272).

Almost surely, 2^83015749152 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 83015749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147942305280).

83015749152 is an abundant number, since it is smaller than the sum of its proper divisors (212868861408).

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

83015749152 is a wasteful number, since it uses less digits than its factorization.

83015749152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 83015749152 in words is "eighty-three billion, fifteen million, seven hundred forty-nine thousand, one hundred fifty-two".