46582157241 has 15 divisors (see below), whose sum is σ = 69588593503. Its totient is φ = 31053476520.

The previous prime is 46582157233. The next prime is 46582157243. The reversal of 46582157241 is 14275128564.

The square root of 46582157241 is 215829.

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

46582157241 is a `hidden beast` number, since 4 + 6 + 58 + 21 + 572 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3884841 + 46578272400 = 1971^2 + 215820^2 .

It is not a de Polignac number, because 46582157241 - 2³ = 46582157233 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 (46582157243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1930471 + ... + 1954451.

Almost surely, 2^46582157241 is an apocalyptic number.

46582157241 is the 215829-th square number.

46582157241 is the 107915-th centered octagonal number.

It is an amenable number.

46582157241 is a deficient number, since it is larger than the sum of its proper divisors (23006436262).

46582157241 is an frugal number, since it uses more digits than its factorization.

46582157241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47974 (or 23984 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 46582157241 in words is "forty-six billion, five hundred eighty-two million, one hundred fifty-seven thousand, two hundred forty-one".