20135751412014 has 288 divisors, whose sum is σ = 55559833804800. Its totient is φ = 5235834764160.

The previous prime is 20135751411967. The next prime is 20135751412019. The reversal of 20135751412014 is 41021415753102.

20135751412014 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 7 + 514 + 120 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20135751412014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135751412019) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48778099 + ... + 49189169.

It is an arithmetic number, because the mean of its divisors is an integer number (192916089600).

Almost surely, 2^{20135751412014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135751412014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27779916902400).

20135751412014 is an abundant number, since it is smaller than the sum of its proper divisors (35424082392786).

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

20135751412014 is a wasteful number, since it uses less digits than its factorization.

20135751412014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411228 (or 411218 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20135751412014 in words is "twenty trillion, one hundred thirty-five billion, seven hundred fifty-one million, four hundred twelve thousand, fourteen".