2014229452032 has 360 divisors, whose sum is σ = 6878080440000. Its totient is φ = 574320181248.

The previous prime is 2014229451991. The next prime is 2014229452057. The reversal of 2014229452032 is 2302549224102.

2014229452032 is a `hidden beast` number, since 2 + 0 + 1 + 42 + 2 + 94 + 520 + 3 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 72416944 + ... + 72444752.

It is an arithmetic number, because the mean of its divisors is an integer number (19105779000).

Almost surely, 2^{2014229452032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014229452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439040220000).

2014229452032 is an abundant number, since it is smaller than the sum of its proper divisors (4863850987968).

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

2014229452032 is an equidigital number, since it uses as much as digits as its factorization.

2014229452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28343 (or 28320 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2014229452032 in words is "two trillion, fourteen billion, two hundred twenty-nine million, four hundred fifty-two thousand, thirty-two".