15142479678144 has 896 divisors, whose sum is σ = 55808749301760. Its totient is φ = 3919800729600.

The previous prime is 15142479678119. The next prime is 15142479678149. The reversal of 15142479678144 is 44187697424151.

15142479678144 is a `hidden beast` number, since 1 + 5 + 1 + 42 + 479 + 6 + 7 + 81 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (15142479678149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2601350754 + ... + 2601356574.

It is an arithmetic number, because the mean of its divisors is an integer number (62286550560).

Almost surely, 2^{15142479678144} is an apocalyptic number.

15142479678144 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 15142479678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27904374650880).

15142479678144 is an abundant number, since it is smaller than the sum of its proper divisors (40666269623616).

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

15142479678144 is a wasteful number, since it uses less digits than its factorization.

15142479678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6150 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 15142479678144 in words is "fifteen trillion, one hundred forty-two billion, four hundred seventy-nine million, six hundred seventy-eight thousand, one hundred forty-four".