14135290764 has 192 divisors, whose sum is σ = 40642560000. Its totient is φ = 3732083712.

The previous prime is 14135290753. The next prime is 14135290769. The reversal of 14135290764 is 46709253141.

14135290764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14135290769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28326987 + ... + 28327485.

It is an arithmetic number, because the mean of its divisors is an integer number (211680000).

Almost surely, 2^14135290764 is an apocalyptic number.

14135290764 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 14135290764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280000).

14135290764 is an abundant number, since it is smaller than the sum of its proper divisors (26507269236).

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

14135290764 is a wasteful number, since it uses less digits than its factorization.

14135290764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 14135290764 in words is "fourteen billion, one hundred thirty-five million, two hundred ninety thousand, seven hundred sixty-four".