83157373421568 has 144 divisors (see below), whose sum is σ = 240223918940460. Its totient is φ = 27713335689216.

The previous prime is 83157373421531. The next prime is 83157373421651. The reversal of 83157373421568 is 86512437375138.

83157373421568 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 7 + 37 + 34 + 2 + 1 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83081620767744 + 75752653824 = 9114912^2 + 275232^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88244530 + ... + 89181902.

Almost surely, 2^{83157373421568} 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 83157373421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120111959470230).

83157373421568 is an abundant number, since it is smaller than the sum of its proper divisors (157066545518892).

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

83157373421568 is a wasteful number, since it uses less digits than its factorization.

83157373421568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942214 (or 942191 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 83157373421568 in words is "eighty-three trillion, one hundred fifty-seven billion, three hundred seventy-three million, four hundred twenty-one thousand, five hundred sixty-eight".