264404046120144 has 80 divisors (see below), whose sum is σ = 821706810017280. Its totient is φ = 71568012481920.

The previous prime is 264404046120113. The next prime is 264404046120161. The reversal of 264404046120144 is 441021640404462.

264404046120144 is digitally balanced in base 2, 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 264404046120096 and 264404046120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20708330562 + ... + 20708343329.

It is an arithmetic number, because the mean of its divisors is an integer number (10271335125216).

Almost surely, 2^{264404046120144} is an apocalyptic number.

264404046120144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264404046120144 is an abundant number, since it is smaller than the sum of its proper divisors (557302763897136).

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

264404046120144 is a wasteful number, since it uses less digits than its factorization.

264404046120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41416673928 (or 41416673922 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 264404046120144 in words is "two hundred sixty-four trillion, four hundred four billion, forty-six million, one hundred twenty thousand, one hundred forty-four".