264814817130 has 96 divisors (see below), whose sum is σ = 715726065600. Its totient is φ = 70448476032.

The previous prime is 264814817089. The next prime is 264814817149. The reversal of 264814817130 is 31718418462.

264814817130 is a `hidden beast` number, since 2 + 64 + 81 + 481 + 7 + 1 + 30 = 666.

264814817130 is digitally balanced in base 3, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888126 + ... + 1148214.

It is an arithmetic number, because the mean of its divisors is an integer number (7455479850).

Almost surely, 2^264814817130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264814817130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357863032800).

264814817130 is an abundant number, since it is smaller than the sum of its proper divisors (450911248470).

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

264814817130 is a wasteful number, since it uses less digits than its factorization.

264814817130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260530 (or 260518 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 264814817130 in words is "two hundred sixty-four billion, eight hundred fourteen million, eight hundred seventeen thousand, one hundred thirty".