15144248340 has 576 divisors, whose sum is σ = 55300976640. Its totient is φ = 3321077760.

The previous prime is 15144248323. The next prime is 15144248359. The reversal of 15144248340 is 4384244151.

15144248340 is a `hidden beast` number, since 1 + 514 + 4 + 24 + 83 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15144248295 and 15144248304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48384024 + ... + 48384336.

It is an arithmetic number, because the mean of its divisors is an integer number (96008640).

Almost surely, 2^15144248340 is an apocalyptic number.

15144248340 is a gapful number since it is divisible by the number (10) 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 15144248340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650488320).

15144248340 is an abundant number, since it is smaller than the sum of its proper divisors (40156728300).

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

15144248340 is a wasteful number, since it uses less digits than its factorization.

15144248340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 15144248340 in words is "fifteen billion, one hundred forty-four million, two hundred forty-eight thousand, three hundred forty".