214032313104000 has 128 divisors (see below), whose sum is σ = 709517118098880. Its totient is φ = 57075283481600.

The previous prime is 214032313103891. The next prime is 214032313104013. The reversal of 214032313104000 is 401313230412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214032313104000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2229455262 + ... + 2229551261.

Almost surely, 2^{214032313104000} is an apocalyptic number.

214032313104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214032313104000 is an abundant number, since it is smaller than the sum of its proper divisors (495484804994880).

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

214032313104000 is an equidigital number, since it uses as much as digits as its factorization.

214032313104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459006555 (or 4459006533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214032313104000 its reverse (401313230412), we get a palindrome (214433626334412).

The spelling of 214032313104000 in words is "two hundred fourteen trillion, thirty-two billion, three hundred thirteen million, one hundred four thousand".