83357312544 has 768 divisors, whose sum is σ = 291610368000. Its totient is φ = 23178700800.

The previous prime is 83357312473. The next prime is 83357312557. The reversal of 83357312544 is 44521375338.

83357312544 is a `hidden beast` number, since 8 + 3 + 35 + 73 + 1 + 2 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83357312544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 599692827 + ... + 599692965.

It is an arithmetic number, because the mean of its divisors is an integer number (379701000).

Almost surely, 2^83357312544 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 83357312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805184000).

83357312544 is an abundant number, since it is smaller than the sum of its proper divisors (208253055456).

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

83357312544 is a wasteful number, since it uses less digits than its factorization.

83357312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 83357312544 in words is "eighty-three billion, three hundred fifty-seven million, three hundred twelve thousand, five hundred forty-four".