83474333621568 has 224 divisors, whose sum is σ = 246848006988800. Its totient is φ = 27660843436032.

The previous prime is 83474333621551. The next prime is 83474333621593. The reversal of 83474333621568 is 86512633347438.

83474333621568 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 4 + 3 + 3 + 3 + 62 + 1 + 568 = 666.

It is a super-4 number, since 4×83474333621568⁴ (a number of 57 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (63) 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 31 ways as a sum of consecutive naturals, for example, 273056130 + ... + 273361662.

It is an arithmetic number, because the mean of its divisors is an integer number (1102000031200).

Almost surely, 2^{83474333621568} 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 83474333621568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123424003494400).

83474333621568 is an abundant number, since it is smaller than the sum of its proper divisors (163373673367232).

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

83474333621568 is a wasteful number, since it uses less digits than its factorization.

83474333621568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306486 (or 306470 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 83474333621568 in words is "eighty-three trillion, four hundred seventy-four billion, three hundred thirty-three million, six hundred twenty-one thousand, five hundred sixty-eight".