83836390442112 has 896 divisors, whose sum is σ = 312427652889600. Its totient is φ = 21759962757120.

The previous prime is 83836390442089. The next prime is 83836390442117. The reversal of 83836390442112 is 21124409363838.

83836390442112 is a `hidden beast` number, since 8 + 3 + 8 + 36 + 390 + 4 + 4 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83836390442117) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12552233589 + ... + 12552240267.

Almost surely, 2^{83836390442112} 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 83836390442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156213826444800).

83836390442112 is an abundant number, since it is smaller than the sum of its proper divisors (228591262447488).

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

83836390442112 is a wasteful number, since it uses less digits than its factorization.

83836390442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 83836390442112 in words is "eighty-three trillion, eight hundred thirty-six billion, three hundred ninety million, four hundred forty-two thousand, one hundred twelve".