218079913952 has 48 divisors (see below), whose sum is σ = 459602035200. Its totient is φ = 101550130560.

The previous prime is 218079913951. The next prime is 218079914053. The reversal of 218079913952 is 259319970812.

218079913952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218079913951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3003824 + ... + 3075567.

It is an arithmetic number, because the mean of its divisors is an integer number (9575042400).

Almost surely, 2^218079913952 is an apocalyptic number.

It is an amenable number.

218079913952 is an abundant number, since it is smaller than the sum of its proper divisors (241522121248).

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

218079913952 is a wasteful number, since it uses less digits than its factorization.

218079913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079479 (or 6079471 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 56.

The spelling of 218079913952 in words is "two hundred eighteen billion, seventy-nine million, nine hundred thirteen thousand, nine hundred fifty-two".