15429141648 has 120 divisors (see below), whose sum is σ = 44435489280. Its totient is φ = 4994680320.

The previous prime is 15429141647. The next prime is 15429141661. The reversal of 15429141648 is 84614192451.

15429141648 is a `hidden beast` number, since 1 + 542 + 9 + 1 + 41 + 64 + 8 = 666.

It is a super-3 number, since 3×15429141648³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (15429141647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310733 + ... + 1322451.

It is an arithmetic number, because the mean of its divisors is an integer number (370295744).

Almost surely, 2^15429141648 is an apocalyptic number.

15429141648 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 15429141648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217744640).

15429141648 is an abundant number, since it is smaller than the sum of its proper divisors (29006347632).

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

15429141648 is a wasteful number, since it uses less digits than its factorization.

15429141648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997 (or 11988 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 15429141648 in words is "fifteen billion, four hundred twenty-nine million, one hundred forty-one thousand, six hundred forty-eight".