83833491456 has 1248 divisors, whose sum is σ = 320573460480. Its totient is φ = 21499084800.

The previous prime is 83833491409. The next prime is 83833491473. The reversal of 83833491456 is 65419433838.

83833491456 is a `hidden beast` number, since 83 + 8 + 33 + 491 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2704306161 + ... + 2704306191.

It is an arithmetic number, because the mean of its divisors is an integer number (256869760).

Almost surely, 2^83833491456 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 83833491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160286730240).

83833491456 is an abundant number, since it is smaller than the sum of its proper divisors (236739969024).

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

83833491456 is a wasteful number, since it uses less digits than its factorization.

83833491456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 83833491456 in words is "eighty-three billion, eight hundred thirty-three million, four hundred ninety-one thousand, four hundred fifty-six".