47587782105461 has 16 divisors (see below), whose sum is σ = 51529360007664. Its totient is φ = 43686524496384.

The previous prime is 47587782105431. The next prime is 47587782105503. The reversal of 47587782105461 is 16450128778574.

It can be written as a sum of positive squares in 8 ways, for example, as 7270438140625 + 40317343964836 = 2696375^2 + 6349594^2 .

It is a cyclic number.

It is not a de Polignac number, because 47587782105461 - 2⁶ = 47587782105397 is a prime.

It is a super-2 number, since 2×47587782105461² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47587782105431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2576435 + ... + 10090271.

It is an arithmetic number, because the mean of its divisors is an integer number (3220585000479).

Almost surely, 2^{47587782105461} is an apocalyptic number.

It is an amenable number.

47587782105461 is a deficient number, since it is larger than the sum of its proper divisors (3941577902203).

47587782105461 is a wasteful number, since it uses less digits than its factorization.

47587782105461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516520.

The product of its (nonzero) digits is 105369600, while the sum is 65.

The spelling of 47587782105461 in words is "forty-seven trillion, five hundred eighty-seven billion, seven hundred eighty-two million, one hundred five thousand, four hundred sixty-one".