213374809872 has 200 divisors, whose sum is σ = 708908751936. Its totient is φ = 60695080704.

The previous prime is 213374809871. The next prime is 213374809889. The reversal of 213374809872 is 278908473312.

213374809872 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 480 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (213374809871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2007538 + ... + 2111150.

Almost surely, 2^213374809872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213374809872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354454375968).

213374809872 is an abundant number, since it is smaller than the sum of its proper divisors (495533942064).

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

213374809872 is a wasteful number, since it uses less digits than its factorization.

213374809872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103867 (or 103852 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 213374809872 in words is "two hundred thirteen billion, three hundred seventy-four million, eight hundred nine thousand, eight hundred seventy-two".