213717849417072 has 960 divisors, whose sum is σ = 845234952167424. Its totient is φ = 50476189547520.

The previous prime is 213717849417029. The next prime is 213717849417077. The reversal of 213717849417072 is 270714948717312.

213717849417072 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 7 + 8 + 494 + 1 + 70 + 72 = 666.

It is a super-2 number, since 2×213717849417072² (a number of 29 digits) contains 22 as substring.

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 (213717849417077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 260346693 + ... + 261166299.

Almost surely, 2^{213717849417072} is an apocalyptic number.

213717849417072 is a gapful number since it is divisible by the number (22) 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 213717849417072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422617476083712).

213717849417072 is an abundant number, since it is smaller than the sum of its proper divisors (631517102750352).

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

213717849417072 is a wasteful number, since it uses less digits than its factorization.

213717849417072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819728 (or 819710 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 213717849417072 in words is "two hundred thirteen trillion, seven hundred seventeen billion, eight hundred forty-nine million, four hundred seventeen thousand, seventy-two".