2014051306752 has 216 divisors, whose sum is σ = 6000484788480. Its totient is φ = 649026846720.

The previous prime is 2014051306727. The next prime is 2014051306823. The reversal of 2014051306752 is 2576031504102.

2014051306752 is a `hidden beast` number, since 20 + 14 + 0 + 513 + 0 + 67 + 52 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72052843 + ... + 72080789.

Almost surely, 2^{2014051306752} 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 2014051306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000242394240).

2014051306752 is an abundant number, since it is smaller than the sum of its proper divisors (3986433481728).

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

2014051306752 is a wasteful number, since it uses less digits than its factorization.

2014051306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29009 (or 28992 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2014051306752 in words is "two trillion, fourteen billion, fifty-one million, three hundred six thousand, seven hundred fifty-two".