468615193641 has 24 divisors (see below), whose sum is σ = 802238359104. Its totient is φ = 267780109680.

The previous prime is 468615193609. The next prime is 468615193663. The reversal of 468615193641 is 146391516864.

468615193641 is a `hidden beast` number, since 4 + 6 + 8 + 61 + 519 + 3 + 64 + 1 = 666.

It is not a de Polignac number, because 468615193641 - 2⁵ = 468615193609 is a prime.

It is a super-3 number, since 3×468615193641³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (468615193601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137745270 + ... + 137748671.

It is an arithmetic number, because the mean of its divisors is an integer number (33426598296).

Almost surely, 2^468615193641 is an apocalyptic number.

It is an amenable number.

468615193641 is a deficient number, since it is larger than the sum of its proper divisors (333623165463).

468615193641 is an equidigital number, since it uses as much as digits as its factorization.

468615193641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275493963 (or 275493951 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 468615193641 in words is "four hundred sixty-eight billion, six hundred fifteen million, one hundred ninety-three thousand, six hundred forty-one".