214662993388704 has 432 divisors, whose sum is σ = 747549040754880. Its totient is φ = 58099462686720.

The previous prime is 214662993388699. The next prime is 214662993388717. The reversal of 214662993388704 is 407883399266412.

214662993388704 is a `hidden beast` number, since 2 + 1 + 466 + 2 + 9 + 93 + 3 + 8 + 8 + 70 + 4 = 666.

214662993388704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 4266695709 + ... + 4266746019.

It is an arithmetic number, because the mean of its divisors is an integer number (1730437594340).

Almost surely, 2^{214662993388704} is an apocalyptic number.

214662993388704 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 214662993388704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373774520377440).

214662993388704 is an abundant number, since it is smaller than the sum of its proper divisors (532886047366176).

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

214662993388704 is a wasteful number, since it uses less digits than its factorization.

214662993388704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66273 (or 66255 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 214662993388704 in words is "two hundred fourteen trillion, six hundred sixty-two billion, nine hundred ninety-three million, three hundred eighty-eight thousand, seven hundred four".