213923632104 has 192 divisors, whose sum is σ = 718211894400. Its totient is φ = 56013285888.

The previous prime is 213923632103. The next prime is 213923632147. The reversal of 213923632104 is 401236329312.

213923632104 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 2 + 3 + 632 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213923632103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793282 + ... + 1028174.

It is an arithmetic number, because the mean of its divisors is an integer number (3740686950).

Almost surely, 2^213923632104 is an apocalyptic number.

213923632104 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 213923632104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359105947200).

213923632104 is an abundant number, since it is smaller than the sum of its proper divisors (504288262296).

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

213923632104 is a wasteful number, since it uses less digits than its factorization.

213923632104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235064 (or 235057 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 213923632104 in words is "two hundred thirteen billion, nine hundred twenty-three million, six hundred thirty-two thousand, one hundred four".