214207798464 has 252 divisors, whose sum is σ = 710403704920. Its totient is φ = 61494681600.

The previous prime is 214207798463. The next prime is 214207798481. The reversal of 214207798464 is 464897702412.

214207798464 is a `hidden beast` number, since 2 + 1 + 4 + 20 + 77 + 98 + 464 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214207798464.

It is not an unprimeable number, because it can be changed into a prime (214207798463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1243344 + ... + 1405104.

Almost surely, 2^214207798464 is an apocalyptic number.

214207798464 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 214207798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355201852460).

214207798464 is an abundant number, since it is smaller than the sum of its proper divisors (496195906456).

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

214207798464 is a wasteful number, since it uses less digits than its factorization.

214207798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161820 (or 161796 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 214207798464 in words is "two hundred fourteen billion, two hundred seven million, seven hundred ninety-eight thousand, four hundred sixty-four".