214841068920 has 384 divisors, whose sum is σ = 773049139200. Its totient is φ = 51502252032.

The previous prime is 214841068913. The next prime is 214841068933. The reversal of 214841068920 is 29860148412.

214841068920 is a `hidden beast` number, since 2 + 148 + 410 + 6 + 8 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19974264 + ... + 19985016.

It is an arithmetic number, because the mean of its divisors is an integer number (2013148800).

Almost surely, 2^214841068920 is an apocalyptic number.

214841068920 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 214841068920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386524569600).

214841068920 is an abundant number, since it is smaller than the sum of its proper divisors (558208070280).

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

214841068920 is a wasteful number, since it uses less digits than its factorization.

214841068920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 214841068920 in words is "two hundred fourteen billion, eight hundred forty-one million, sixty-eight thousand, nine hundred twenty".