214274544120 has 576 divisors, whose sum is σ = 875205414720. Its totient is φ = 45064470528.

The previous prime is 214274544089. The next prime is 214274544151. The reversal of 214274544120 is 21445472412.

214274544120 is a `hidden beast` number, since 2 + 1 + 42 + 74 + 544 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214274544089) and next prime (214274544151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80948637 + ... + 80951283.

It is an arithmetic number, because the mean of its divisors is an integer number (1519453845).

Almost surely, 2^214274544120 is an apocalyptic number.

214274544120 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 214274544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437602707360).

214274544120 is an abundant number, since it is smaller than the sum of its proper divisors (660930870600).

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

214274544120 is a wasteful number, since it uses less digits than its factorization.

214274544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 214274544120 in words is "two hundred fourteen billion, two hundred seventy-four million, five hundred forty-four thousand, one hundred twenty".