83345972516352 has 1920 divisors, whose sum is σ = 326085129216000. Its totient is φ = 20535129538560.

The previous prime is 83345972516351. The next prime is 83345972516371. The reversal of 83345972516352 is 25361527954338.

83345972516352 is a `hidden beast` number, since 8 + 3 + 3 + 4 + 597 + 2 + 5 + 1 + 6 + 35 + 2 = 666.

It is a super-2 number, since 2×83345972516352² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83345972516352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83345972516351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14702056174 + ... + 14702061842.

It is an arithmetic number, because the mean of its divisors is an integer number (169836004800).

Almost surely, 2^{83345972516352} 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 83345972516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163042564608000).

83345972516352 is an abundant number, since it is smaller than the sum of its proper divisors (242739156699648).

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

83345972516352 is a wasteful number, since it uses less digits than its factorization.

83345972516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5754 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 83345972516352 in words is "eighty-three trillion, three hundred forty-five billion, nine hundred seventy-two million, five hundred sixteen thousand, three hundred fifty-two".