214290045360 has 120 divisors (see below), whose sum is σ = 757534156080. Its totient is φ = 54136429056.

The previous prime is 214290045313. The next prime is 214290045377. The reversal of 214290045360 is 63540092412.

It is a happy number.

214290045360 is a `hidden beast` number, since 2 + 1 + 4 + 290 + 0 + 4 + 5 + 360 = 666.

214290045360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7818559 + ... + 7845918.

It is an arithmetic number, because the mean of its divisors is an integer number (6312784634).

Almost surely, 2^214290045360 is an apocalyptic number.

214290045360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214290045360 is an abundant number, since it is smaller than the sum of its proper divisors (543244110720).

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

214290045360 is a wasteful number, since it uses less digits than its factorization.

214290045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664515 (or 15664506 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 214290045360 in words is "two hundred fourteen billion, two hundred ninety million, forty-five thousand, three hundred sixty".