288849468096 has 840 divisors, whose sum is σ = 1060983166320. Its totient is φ = 77253378048.

The previous prime is 288849468067. The next prime is 288849468107. The reversal of 288849468096 is 690864948882.

288849468096 is a `hidden beast` number, since 2 + 88 + 84 + 9 + 468 + 0 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 468151180 + ... + 468151796.

It is an arithmetic number, because the mean of its divisors is an integer number (1263075198).

Almost surely, 2^288849468096 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 288849468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530491583160).

288849468096 is an abundant number, since it is smaller than the sum of its proper divisors (772133698224).

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

288849468096 is a wasteful number, since it uses less digits than its factorization.

288849468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 288849468096 in words is "two hundred eighty-eight billion, eight hundred forty-nine million, four hundred sixty-eight thousand, ninety-six".