15142427536224 has 48 divisors (see below), whose sum is σ = 39749736988080. Its totient is φ = 5047366041600.

The previous prime is 15142427536177. The next prime is 15142427536267. The reversal of 15142427536224 is 42263572424151.

15142427536224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15142427536224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2781312 + ... + 6166080.

It is an arithmetic number, because the mean of its divisors is an integer number (828119520585).

Almost surely, 2^{15142427536224} is an apocalyptic number.

It is an amenable number.

15142427536224 is an abundant number, since it is smaller than the sum of its proper divisors (24607309451856).

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

15142427536224 is a wasteful number, since it uses less digits than its factorization.

15142427536224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431383 (or 3431375 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 15142427536224 in words is "fifteen trillion, one hundred forty-two billion, four hundred twenty-seven million, five hundred thirty-six thousand, two hundred twenty-four".