213579378384 has 160 divisors (see below), whose sum is σ = 580721581440. Its totient is φ = 67554902016.

The previous prime is 213579378301. The next prime is 213579378401. The reversal of 213579378384 is 483873975312.

213579378384 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61779984 + ... + 61783440.

It is an arithmetic number, because the mean of its divisors is an integer number (3629509884).

Almost surely, 2^213579378384 is an apocalyptic number.

213579378384 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 213579378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290360790720).

213579378384 is an abundant number, since it is smaller than the sum of its proper divisors (367142203056).

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

213579378384 is a wasteful number, since it uses less digits than its factorization.

213579378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4351 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 213579378384 in words is "two hundred thirteen billion, five hundred seventy-nine million, three hundred seventy-eight thousand, three hundred eighty-four".