464145464133 has 48 divisors (see below), whose sum is σ = 757182316800. Its totient is φ = 271836145152.

The previous prime is 464145464131. The next prime is 464145464143. The reversal of 464145464133 is 331464541464.

464145464133 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 454 + 64 + 133 = 666.

It is not a de Polignac number, because 464145464133 - 2¹ = 464145464131 is a prime.

It is a super-3 number, since 3×464145464133³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464145464131) 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 47 ways as a sum of consecutive naturals, for example, 102141 + ... + 968877.

It is an arithmetic number, because the mean of its divisors is an integer number (15774631600).

Almost surely, 2^464145464133 is an apocalyptic number.

It is an amenable number.

464145464133 is a deficient number, since it is larger than the sum of its proper divisors (293036852667).

464145464133 is a wasteful number, since it uses less digits than its factorization.

464145464133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866978 (or 866975 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 464145464133 in words is "four hundred sixty-four billion, one hundred forty-five million, four hundred sixty-four thousand, one hundred thirty-three".