464023155312 has 240 divisors, whose sum is σ = 1338748977280. Its totient is φ = 149986349568.

The previous prime is 464023155301. The next prime is 464023155313. The reversal of 464023155312 is 213551320464.

464023155312 is a `hidden beast` number, since 4 + 64 + 0 + 2 + 31 + 553 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464023155313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171414663 + ... + 171417369.

Almost surely, 2^464023155312 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 464023155312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669374488640).

464023155312 is an abundant number, since it is smaller than the sum of its proper divisors (874725821968).

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

464023155312 is a wasteful number, since it uses less digits than its factorization.

464023155312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 464023155312 its reverse (213551320464), we get a palindrome (677574475776).

The spelling of 464023155312 in words is "four hundred sixty-four billion, twenty-three million, one hundred fifty-five thousand, three hundred twelve".