214730145280 has 480 divisors, whose sum is σ = 626276933568. Its totient is φ = 69115576320.

The previous prime is 214730145277. The next prime is 214730145299. The reversal of 214730145280 is 82541037412.

It is a super-2 number, since 2×214730145280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637181272 + ... + 637181608.

Almost surely, 2^214730145280 is an apocalyptic number.

214730145280 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 214730145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313138466784).

214730145280 is an abundant number, since it is smaller than the sum of its proper divisors (411546788288).

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

214730145280 is an equidigital number, since it uses as much as digits as its factorization.

214730145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 214730145280 in words is "two hundred fourteen billion, seven hundred thirty million, one hundred forty-five thousand, two hundred eighty".