4564101141 has 32 divisors (see below), whose sum is σ = 6943009920. Its totient is φ = 2961608832.

The previous prime is 4564101127. The next prime is 4564101151. The reversal of 4564101141 is 1411014654.

4564101141 is a `hidden beast` number, since 4 + 5 + 641 + 0 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 4564101141 - 2¹⁸ = 4563838997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564101151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333465 + ... + 346881.

It is an arithmetic number, because the mean of its divisors is an integer number (216969060).

Almost surely, 2^4564101141 is an apocalyptic number.

It is an amenable number.

4564101141 is a deficient number, since it is larger than the sum of its proper divisors (2378908779).

4564101141 is a wasteful number, since it uses less digits than its factorization.

4564101141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13762 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4564101141 is about 67558.1315683020. The cubic root of 4564101141 is about 1658.7658535049.

Adding to 4564101141 its reverse (1411014654), we get a palindrome (5975115795).

The spelling of 4564101141 in words is "four billion, five hundred sixty-four million, one hundred one thousand, one hundred forty-one".