83588061456 has 105 divisors (see below), whose sum is σ = 242907464181. Its totient is φ = 27852278976.

The previous prime is 83588061451. The next prime is 83588061461. The reversal of 83588061456 is 65416088538.

The square root of 83588061456 is 289116.

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

83588061456 is a `hidden beast` number, since 8 + 3 + 58 + 80 + 61 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (83588061451) and next prime (83588061461).

It can be written as a sum of positive squares in only one way, i.e., 1553936400 + 82034125056 = 39420^2 + 286416^2 .

It is a super-3 number, since 3×83588061456³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83588061451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31223190 + ... + 31225866.

Almost surely, 2^83588061456 is an apocalyptic number.

83588061456 is the 289116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83588061456

83588061456 is an abundant number, since it is smaller than the sum of its proper divisors (159319402725).

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

83588061456 is an frugal number, since it uses more digits than its factorization.

83588061456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 83588061456 in words is "eighty-three billion, five hundred eighty-eight million, sixty-one thousand, four hundred fifty-six".