213714789894144 has 1920 divisors, whose sum is σ = 807664524226560. Its totient is φ = 54693671731200.

The previous prime is 213714789894121. The next prime is 213714789894211. The reversal of 213714789894144 is 441498987417312.

213714789894144 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 478 + 9 + 8 + 9 + 4 + 144 = 666.

It is a super-5 number, since 5×213714789894144⁵ (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 370389583584 + ... + 370389584160.

It is an arithmetic number, because the mean of its divisors is an integer number (420658606368).

Almost surely, 2^{213714789894144} is an apocalyptic number.

213714789894144 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 213714789894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403832262113280).

213714789894144 is an abundant number, since it is smaller than the sum of its proper divisors (593949734332416).

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

213714789894144 is a wasteful number, since it uses less digits than its factorization.

213714789894144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 978 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 213714789894144 in words is "two hundred thirteen trillion, seven hundred fourteen billion, seven hundred eighty-nine million, eight hundred ninety-four thousand, one hundred forty-four".