93648852441 has 27 divisors (see below), whose sum is σ = 137031464479. Its totient is φ = 61630181232.

The previous prime is 93648852421. The next prime is 93648852457. The reversal of 93648852441 is 14425884639.

The square root of 93648852441 is 306021.

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

93648852441 is a `hidden beast` number, since 9 + 36 + 4 + 88 + 524 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92433632841 + 1215219600 = 304029^2 + 34860^2 .

It is not a de Polignac number, because 93648852441 - 2¹³ = 93648844249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93648852421) 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, 76198615 + ... + 76199843.

Almost surely, 2^93648852441 is an apocalyptic number.

93648852441 is the 306021-st square number.

93648852441 is the 153011-st centered octagonal number.

It is an amenable number.

93648852441 is a deficient number, since it is larger than the sum of its proper divisors (43382612038).

93648852441 is an frugal number, since it uses more digits than its factorization.

93648852441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 1315 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 93648852441 in words is "ninety-three billion, six hundred forty-eight million, eight hundred fifty-two thousand, four hundred forty-one".