214134684942024 has 1280 divisors, whose sum is σ = 812490877440000. Its totient is φ = 51008661411840.

The previous prime is 214134684942007. The next prime is 214134684942077. The reversal of 214134684942024 is 420249486431412.

214134684942024 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 346 + 8 + 4 + 94 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6980285374 + ... + 6980316050.

It is an arithmetic number, because the mean of its divisors is an integer number (634758498000).

Almost surely, 2^{214134684942024} is an apocalyptic number.

214134684942024 is a gapful number since it is divisible by the number (24) 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 214134684942024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406245438720000).

214134684942024 is an abundant number, since it is smaller than the sum of its proper divisors (598356192497976).

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

214134684942024 is a wasteful number, since it uses less digits than its factorization.

214134684942024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30968 (or 30955 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 214134684942024 in words is "two hundred fourteen trillion, one hundred thirty-four billion, six hundred eighty-four million, nine hundred forty-two thousand, twenty-four".