289296467014464 has 672 divisors, whose sum is σ = 1051514860241664. Its totient is φ = 74019079618560.

The previous prime is 289296467014447. The next prime is 289296467014487. The reversal of 289296467014464 is 464410764692982.

289296467014464 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 96 + 4 + 6 + 70 + 1 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 289296467014392 and 289296467014401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232788727 + ... + 234028169.

It is an arithmetic number, because the mean of its divisors is an integer number (1564754256312).

Almost surely, 2^{289296467014464} is an apocalyptic number.

289296467014464 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 289296467014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525757430120832).

289296467014464 is an abundant number, since it is smaller than the sum of its proper divisors (762218393227200).

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

289296467014464 is a wasteful number, since it uses less digits than its factorization.

289296467014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239615 (or 1239602 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 289296467014464 in words is "two hundred eighty-nine trillion, two hundred ninety-six billion, four hundred sixty-seven million, fourteen thousand, four hundred sixty-four".