214404352513320 has 128 divisors (see below), whose sum is σ = 659879910748800. Its totient is φ = 55711868534784.

The previous prime is 214404352513279. The next prime is 214404352513327. The reversal of 214404352513320 is 23315253404412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214404352513327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146714985 + ... + 148169144.

It is an arithmetic number, because the mean of its divisors is an integer number (5155311802725).

Almost surely, 2^{214404352513320} is an apocalyptic number.

214404352513320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214404352513320 is an abundant number, since it is smaller than the sum of its proper divisors (445475558235480).

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

214404352513320 is a wasteful number, since it uses less digits than its factorization.

214404352513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294884299 (or 294884295 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 214404352513320 in words is "two hundred fourteen trillion, four hundred four billion, three hundred fifty-two million, five hundred thirteen thousand, three hundred twenty".