32083796033536 has 513 divisors, whose sum is σ = 74651649398991. Its totient is φ = 13781270790144.

The previous prime is 32083796033533. The next prime is 32083796033537. The reversal of 32083796033536 is 63533069738023.

The square root of 32083796033536 is 5664256.

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

It can be written as a sum of positive squares in 4 ways, for example, as 133265883136 + 31950530150400 = 365056^2 + 5652480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32083796033533) 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, 867129622510 + ... + 867129622546.

Almost surely, 2^{32083796033536} is an apocalyptic number.

32083796033536 is the 5664256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32083796033536

32083796033536 is an abundant number, since it is smaller than the sum of its proper divisors (42567853365455).

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

32083796033536 is an frugal number, since it uses more digits than its factorization.

32083796033536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 58.

The spelling of 32083796033536 in words is "thirty-two trillion, eighty-three billion, seven hundred ninety-six million, thirty-three thousand, five hundred thirty-six".