83303813376 has 243 divisors, whose sum is σ = 279725018391. Its totient is φ = 23773381632.

The previous prime is 83303813357. The next prime is 83303813377. The reversal of 83303813376 is 67331830338.

The square root of 83303813376 is 288624.

It is a perfect power (a square), and thus also a powerful number.

83303813376 is a `hidden beast` number, since 8 + 3 + 303 + 8 + 1 + 337 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (83303813377) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96977235 + ... + 96978093.

Almost surely, 2^83303813376 is an apocalyptic number.

83303813376 is the 288624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83303813376

83303813376 is an abundant number, since it is smaller than the sum of its proper divisors (196421205015).

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

83303813376 is an frugal number, since it uses more digits than its factorization.

83303813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 83303813376 in words is "eighty-three billion, three hundred three million, eight hundred thirteen thousand, three hundred seventy-six".