15142301664 has 192 divisors, whose sum is σ = 47006023680. Its totient is φ = 4176668160.

The previous prime is 15142301653. The next prime is 15142301683. The reversal of 15142301664 is 46610324151.

15142301664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13727737 + ... + 13728839.

It is an arithmetic number, because the mean of its divisors is an integer number (244823040).

Almost surely, 2^15142301664 is an apocalyptic number.

15142301664 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 15142301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503011840).

15142301664 is an abundant number, since it is smaller than the sum of its proper divisors (31863722016).

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

15142301664 is a wasteful number, since it uses less digits than its factorization.

15142301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 15142301664 in words is "fifteen billion, one hundred forty-two million, three hundred one thousand, six hundred sixty-four".