245087904384 has 256 divisors, whose sum is σ = 767135145600. Its totient is φ = 76766330880.

The previous prime is 245087904379. The next prime is 245087904403. The reversal of 245087904384 is 483409780542.

245087904384 is a `hidden beast` number, since 2 + 4 + 508 + 7 + 90 + 43 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 245087904384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40594614 + ... + 40600650.

Almost surely, 2^245087904384 is an apocalyptic number.

245087904384 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 245087904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383567572800).

245087904384 is an abundant number, since it is smaller than the sum of its proper divisors (522047241216).

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

245087904384 is a wasteful number, since it uses less digits than its factorization.

245087904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 245087904384 in words is "two hundred forty-five billion, eighty-seven million, nine hundred four thousand, three hundred eighty-four".