214333152452000 has 96 divisors (see below), whose sum is σ = 532533596409360. Its totient is φ = 84769965772800.

The previous prime is 214333152451997. The next prime is 214333152452047. The reversal of 214333152452000 is 254251333412.

It can be written as a sum of positive squares in 8 ways, for example, as 5022744357904 + 209310408094096 = 2241148^2 + 14467564^2 .

It is a super-2 number, since 2×214333152452000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300673709 + ... + 301385708.

Almost surely, 2^{214333152452000} is an apocalyptic number.

214333152452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214333152452000 is an abundant number, since it is smaller than the sum of its proper divisors (318200443957360).

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

214333152452000 is an equidigital number, since it uses as much as digits as its factorization.

214333152452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602059531 (or 602059513 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 214333152452000 in words is "two hundred fourteen trillion, three hundred thirty-three billion, one hundred fifty-two million, four hundred fifty-two thousand".