83010829456 has 135 divisors (see below), whose sum is σ = 181128429081. Its totient is φ = 36841969152.

The previous prime is 83010829453. The next prime is 83010829463. The reversal of 83010829456 is 65492801038.

The square root of 83010829456 is 288116.

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

It can be written as a sum of positive squares in only one way, i.e., 64627808400 + 18383021056 = 254220^2 + 135584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83010829453) 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, 372245761 + ... + 372245983.

Almost surely, 2^83010829456 is an apocalyptic number.

83010829456 is the 288116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83010829456

83010829456 is an abundant number, since it is smaller than the sum of its proper divisors (98117599625).

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

83010829456 is a wasteful number, since it uses less digits than its factorization.

83010829456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 83010829456 in words is "eighty-three billion, ten million, eight hundred twenty-nine thousand, four hundred fifty-six".