213254398070784 has 1248 divisors, whose sum is σ = 763592489337600. Its totient is φ = 55991473274880.

The previous prime is 213254398070783. The next prime is 213254398070843. The reversal of 213254398070784 is 487070893452312.

It is a happy number.

213254398070784 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 543 + 9 + 8 + 0 + 7 + 0 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213254398070783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23127031294 + ... + 23127040514.

It is an arithmetic number, because the mean of its divisors is an integer number (611852956200).

Almost surely, 2^{213254398070784} is an apocalyptic number.

213254398070784 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 213254398070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381796244668800).

213254398070784 is an abundant number, since it is smaller than the sum of its proper divisors (550338091266816).

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

213254398070784 is a wasteful number, since it uses less digits than its factorization.

213254398070784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 213254398070784 in words is "two hundred thirteen trillion, two hundred fifty-four billion, three hundred ninety-eight million, seventy thousand, seven hundred eighty-four".