142214323104 has 672 divisors, whose sum is σ = 505700496000. Its totient is φ = 38490826752.

The previous prime is 142214323063. The next prime is 142214323117. The reversal of 142214323104 is 401323412241.

142214323104 is a `hidden beast` number, since 1 + 4 + 221 + 432 + 3 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×142214323104³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 279399202 + ... + 279399710.

It is an arithmetic number, because the mean of its divisors is an integer number (752530500).

Almost surely, 2^142214323104 is an apocalyptic number.

142214323104 is a gapful number since it is divisible by the number (14) 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 142214323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252850248000).

142214323104 is an abundant number, since it is smaller than the sum of its proper divisors (363486172896).

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

142214323104 is an equidigital number, since it uses as much as digits as its factorization.

142214323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142214323104 its reverse (401323412241), we get a palindrome (543537735345).

The spelling of 142214323104 in words is "one hundred forty-two billion, two hundred fourteen million, three hundred twenty-three thousand, one hundred four".