214506792000 has 392 divisors, whose sum is σ = 796496407512. Its totient is φ = 57200256000.

The previous prime is 214506791977. The next prime is 214506792029. The reversal of 214506792000 is 297605412.

It can be written as a sum of positive squares in 4 ways, for example, as 61488129024 + 153018662976 = 247968^2 + 391176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 5813610 + ... + 5850390.

Almost surely, 2^214506792000 is an apocalyptic number.

214506792000 is a gapful number since it is divisible by the number (20) 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 214506792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398248203756).

214506792000 is an abundant number, since it is smaller than the sum of its proper divisors (581989615512).

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

214506792000 is an frugal number, since it uses more digits than its factorization.

214506792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36826 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 214506792000 in words is "two hundred fourteen billion, five hundred six million, seven hundred ninety-two thousand".