83729949156 has 288 divisors, whose sum is σ = 262532874240. Its totient is φ = 22814504064.

The previous prime is 83729949103. The next prime is 83729949169. The reversal of 83729949156 is 65194992738.

83729949156 is a `hidden beast` number, since 8 + 3 + 7 + 2 + 99 + 491 + 56 = 666.

It is a super-2 number, since 2×83729949156² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 83729949093 and 83729949102.

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, 74959110 + ... + 74960226.

It is an arithmetic number, because the mean of its divisors is an integer number (911572480).

Almost surely, 2^83729949156 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 83729949156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131266437120).

83729949156 is an abundant number, since it is smaller than the sum of its proper divisors (178802925084).

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

83729949156 is a wasteful number, since it uses less digits than its factorization.

83729949156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 83729949156 in words is "eighty-three billion, seven hundred twenty-nine million, nine hundred forty-nine thousand, one hundred fifty-six".