296105048064 has 384 divisors, whose sum is σ = 1034817638400. Its totient is φ = 81869045760.

The previous prime is 296105048039. The next prime is 296105048077. The reversal of 296105048064 is 460840501692.

296105048064 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 0 + 504 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11986894 + ... + 12011570.

It is an arithmetic number, because the mean of its divisors is an integer number (2694837600).

Almost surely, 2^296105048064 is an apocalyptic number.

296105048064 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 296105048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517408819200).

296105048064 is an abundant number, since it is smaller than the sum of its proper divisors (738712590336).

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

296105048064 is a wasteful number, since it uses less digits than its factorization.

296105048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24746 (or 24720 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 296105048064 in words is "two hundred ninety-six billion, one hundred five million, forty-eight thousand, sixty-four".