214612849920 has 576 divisors, whose sum is σ = 806245171200. Its totient is φ = 48630177792.

The previous prime is 214612849909. The next prime is 214612849933. The reversal of 214612849920 is 29948216412.

214612849920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214612849920.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 167273599 + ... + 167274881.

It is an arithmetic number, because the mean of its divisors is an integer number (1399731200).

Almost surely, 2^214612849920 is an apocalyptic number.

214612849920 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 214612849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403122585600).

214612849920 is an abundant number, since it is smaller than the sum of its proper divisors (591632321280).

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

214612849920 is a wasteful number, since it uses less digits than its factorization.

214612849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 214612849920 in words is "two hundred fourteen billion, six hundred twelve million, eight hundred forty-nine thousand, nine hundred twenty".