464645632431204 has 240 divisors, whose sum is σ = 1450431144062208. Its totient is φ = 126819614414592.

The previous prime is 464645632431173. The next prime is 464645632431209. The reversal of 464645632431204 is 402134236546464.

464645632431204 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 4 + 563 + 24 + 31 + 20 + 4 = 666.

It is a super-4 number, since 4×464645632431204⁴ (a number of 60 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (464645632431209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34561194 + ... + 46084350.

Almost surely, 2^{464645632431204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464645632431204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725215572031104).

464645632431204 is an abundant number, since it is smaller than the sum of its proper divisors (985785511631004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464645632431204 is a wasteful number, since it uses less digits than its factorization.

464645632431204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523976 (or 11523965 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

Adding to 464645632431204 its reverse (402134236546464), we get a palindrome (866779868977668).

The spelling of 464645632431204 in words is "four hundred sixty-four trillion, six hundred forty-five billion, six hundred thirty-two million, four hundred thirty-one thousand, two hundred four".