83229507816 has 384 divisors, whose sum is σ = 270238550400. Its totient is φ = 21159290880.

The previous prime is 83229507799. The next prime is 83229507827. The reversal of 83229507816 is 61870592238.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47804706 + ... + 47806446.

It is an arithmetic number, because the mean of its divisors is an integer number (703746225).

Almost surely, 2^83229507816 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 83229507816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135119275200).

83229507816 is an abundant number, since it is smaller than the sum of its proper divisors (187009042584).

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

83229507816 is a wasteful number, since it uses less digits than its factorization.

83229507816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 83229507816 in words is "eighty-three billion, two hundred twenty-nine million, five hundred seven thousand, eight hundred sixteen".