213193857744 has 360 divisors, whose sum is σ = 730202148000. Its totient is φ = 57812009472.

The previous prime is 213193857739. The next prime is 213193857757. The reversal of 213193857744 is 447758391312.

213193857744 is a `hidden beast` number, since 2 + 1 + 31 + 9 + 38 + 577 + 4 + 4 = 666.

213193857744 is digitally balanced in base 3, 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12063987 + ... + 12081645.

It is an arithmetic number, because the mean of its divisors is an integer number (2028339300).

Almost surely, 2^213193857744 is an apocalyptic number.

213193857744 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 213193857744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365101074000).

213193857744 is an abundant number, since it is smaller than the sum of its proper divisors (517008290256).

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

213193857744 is a wasteful number, since it uses less digits than its factorization.

213193857744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17775 (or 17759 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 213193857744 in words is "two hundred thirteen billion, one hundred ninety-three million, eight hundred fifty-seven thousand, seven hundred forty-four".