264214003284 has 648 divisors, whose sum is σ = 895220761344. Its totient is φ = 65383718400.

The previous prime is 264214003243. The next prime is 264214003301. The reversal of 264214003284 is 482300412462.

264214003284 is a `hidden beast` number, since 2 + 642 + 1 + 4 + 0 + 0 + 3 + 2 + 8 + 4 = 666.

264214003284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×264214003284³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 483023499 + ... + 483024045.

Almost surely, 2^264214003284 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 264214003284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447610380672).

264214003284 is an abundant number, since it is smaller than the sum of its proper divisors (631006758060).

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

264214003284 is a wasteful number, since it uses less digits than its factorization.

264214003284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 264214003284 in words is "two hundred sixty-four billion, two hundred fourteen million, three thousand, two hundred eighty-four".