214989557614920 has 320 divisors, whose sum is σ = 788322694515840. Its totient is φ = 52116852556800.

The previous prime is 214989557614907. The next prime is 214989557615017. The reversal of 214989557614920 is 29416755989412.

214989557614920 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 8 + 9 + 5 + 576 + 1 + 49 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1210281229 + ... + 1210458851.

It is an arithmetic number, because the mean of its divisors is an integer number (2463508420362).

Almost surely, 2^{214989557614920} is an apocalyptic number.

214989557614920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214989557614920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394161347257920).

214989557614920 is an abundant number, since it is smaller than the sum of its proper divisors (573333136900920).

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

214989557614920 is a wasteful number, since it uses less digits than its factorization.

214989557614920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211618 (or 211605 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 214989557614920 in words is "two hundred fourteen trillion, nine hundred eighty-nine billion, five hundred fifty-seven million, six hundred fourteen thousand, nine hundred twenty".