213836846832 has 360 divisors, whose sum is σ = 712968010976. Its totient is φ = 60859206144.

The previous prime is 213836846801. The next prime is 213836846863. The reversal of 213836846832 is 238648638312.

213836846832 is a `hidden beast` number, since 2 + 13 + 83 + 68 + 468 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (213836846801) and next prime (213836846863).

It is a super-3 number, since 3×213836846832³ (a number of 35 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 291727938 + ... + 291728670.

Almost surely, 2^213836846832 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 213836846832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356484005488).

213836846832 is an abundant number, since it is smaller than the sum of its proper divisors (499131164144).

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

213836846832 is an frugal number, since it uses more digits than its factorization.

213836846832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1142 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 213836846832 in words is "two hundred thirteen billion, eight hundred thirty-six million, eight hundred forty-six thousand, eight hundred thirty-two".