214785473214816 has 576 divisors, whose sum is σ = 720779544576000. Its totient is φ = 60640900992000.

The previous prime is 214785473214761. The next prime is 214785473214853. The reversal of 214785473214816 is 618412374587412.

214785473214816 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 8 + 5 + 473 + 2 + 148 + 16 = 666.

It is a super-2 number, since 2×214785473214816² (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2848991650 + ... + 2849067038.

It is an arithmetic number, because the mean of its divisors is an integer number (1251353376000).

Almost surely, 2^{214785473214816} 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 214785473214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360389772288000).

214785473214816 is an abundant number, since it is smaller than the sum of its proper divisors (505994071361184).

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

214785473214816 is a wasteful number, since it uses less digits than its factorization.

214785473214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75768 (or 75743 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 214785473214816 in words is "two hundred fourteen trillion, seven hundred eighty-five billion, four hundred seventy-three million, two hundred fourteen thousand, eight hundred sixteen".