15144000768 has 648 divisors, whose sum is σ = 52516900800. Its totient is φ = 4175069184.

The previous prime is 15144000763. The next prime is 15144000797. The reversal of 15144000768 is 86700044151.

It is a happy number.

15144000768 is a `hidden beast` number, since 151 + 440 + 0 + 0 + 7 + 68 = 666.

It is a super-2 number, since 2×15144000768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15144000763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170157268 + ... + 170157356.

It is an arithmetic number, because the mean of its divisors is an integer number (81044600).

Almost surely, 2^15144000768 is an apocalyptic number.

15144000768 is a gapful number since it is divisible by the number (18) 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 15144000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26258450400).

15144000768 is an abundant number, since it is smaller than the sum of its proper divisors (37372900032).

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

15144000768 is a wasteful number, since it uses less digits than its factorization.

15144000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 15144000768 in words is "fifteen billion, one hundred forty-four million, seven hundred sixty-eight", and thus it is an aban number.