264122493144 has 96 divisors (see below), whose sum is σ = 682723883520. Its totient is φ = 85147080000.

The previous prime is 264122493071. The next prime is 264122493149. The reversal of 264122493144 is 441394221462.

It is a junction number, because it is equal to n+sod(n) for n = 264122493096 and 264122493105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264122493149) 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, 54221029 + ... + 54225899.

It is an arithmetic number, because the mean of its divisors is an integer number (7111707120).

Almost surely, 2^264122493144 is an apocalyptic number.

264122493144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264122493144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341361941760).

264122493144 is an abundant number, since it is smaller than the sum of its proper divisors (418601390376).

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

264122493144 is a wasteful number, since it uses less digits than its factorization.

264122493144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293 (or 7258 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 264122493144 in words is "two hundred sixty-four billion, one hundred twenty-two million, four hundred ninety-three thousand, one hundred forty-four".