214345635090272 has 72 divisors (see below), whose sum is σ = 519765649860744. Its totient is φ = 86458743555072.

The previous prime is 214345635090259. The next prime is 214345635090277. The reversal of 214345635090272 is 272090536543412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214345635090277) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4020562238 + ... + 4020615549.

It is an arithmetic number, because the mean of its divisors is an integer number (7218967359177).

Almost surely, 2^{214345635090272} is an apocalyptic number.

It is an amenable number.

214345635090272 is an abundant number, since it is smaller than the sum of its proper divisors (305420014770472).

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

214345635090272 is a wasteful number, since it uses less digits than its factorization.

214345635090272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041177828 (or 8041177813 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 53.

The spelling of 214345635090272 in words is "two hundred fourteen trillion, three hundred forty-five billion, six hundred thirty-five million, ninety thousand, two hundred seventy-two".