213694944384 has 256 divisors, whose sum is σ = 608083200000. Its totient is φ = 66296475648.

The previous prime is 213694944373. The next prime is 213694944401. The reversal of 213694944384 is 483449496312.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 31 ways as a sum of consecutive naturals, for example, 131991127 + ... + 131992745.

It is an arithmetic number, because the mean of its divisors is an integer number (2375325000).

Almost surely, 2^213694944384 is an apocalyptic number.

213694944384 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 213694944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600000).

213694944384 is an abundant number, since it is smaller than the sum of its proper divisors (394388255616).

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

213694944384 is a wasteful number, since it uses less digits than its factorization.

213694944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1951 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 213694944384 in words is "two hundred thirteen billion, six hundred ninety-four million, nine hundred forty-four thousand, three hundred eighty-four".