214173772799616 has 384 divisors, whose sum is σ = 712402796851200. Its totient is φ = 60495032715264.

The previous prime is 214173772799611. The next prime is 214173772799671. The reversal of 214173772799616 is 616997277371412.

214173772799616 is a `hidden beast` number, since 2 + 141 + 7 + 377 + 27 + 9 + 96 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 not an unprimeable number, because it can be changed into a prime (214173772799611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487337865 + ... + 487777143.

It is an arithmetic number, because the mean of its divisors is an integer number (1855215616800).

Almost surely, 2^{214173772799616} 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 214173772799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356201398425600).

214173772799616 is an abundant number, since it is smaller than the sum of its proper divisors (498229024051584).

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

214173772799616 is a wasteful number, since it uses less digits than its factorization.

214173772799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439996 (or 439981 counting only the distinct ones).

The product of its digits is 336063168, while the sum is 72.

The spelling of 214173772799616 in words is "two hundred fourteen trillion, one hundred seventy-three billion, seven hundred seventy-two million, seven hundred ninety-nine thousand, six hundred sixteen".