83355944742 has 96 divisors (see below), whose sum is σ = 208659696960. Its totient is φ = 23556614400.

The previous prime is 83355944723. The next prime is 83355944783. The reversal of 83355944742 is 24744955338.

83355944742 is a `hidden beast` number, since 8 + 3 + 3 + 5 + 594 + 4 + 7 + 42 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8413992 + ... + 8423892.

It is an arithmetic number, because the mean of its divisors is an integer number (2173538510).

Almost surely, 2^83355944742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83355944742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104329848480).

83355944742 is an abundant number, since it is smaller than the sum of its proper divisors (125303752218).

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

83355944742 is a wasteful number, since it uses less digits than its factorization.

83355944742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10635 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 83355944742 in words is "eighty-three billion, three hundred fifty-five million, nine hundred forty-four thousand, seven hundred forty-two".