464131112250 has 128 divisors (see below), whose sum is σ = 1256563526400. Its totient is φ = 113425401600.

The previous prime is 464131112197. The next prime is 464131112251. The reversal of 464131112250 is 52211131464.

464131112250 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (464131112251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184016 + ... + 1526484.

It is an arithmetic number, because the mean of its divisors is an integer number (9816902550).

Almost surely, 2^464131112250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464131112250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628281763200).

464131112250 is an abundant number, since it is smaller than the sum of its proper divisors (792432414150).

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

464131112250 is a wasteful number, since it uses less digits than its factorization.

464131112250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342641 (or 342631 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 464131112250 in words is "four hundred sixty-four billion, one hundred thirty-one million, one hundred twelve thousand, two hundred fifty".