12361424146464 has 48 divisors (see below), whose sum is σ = 32448928331232. Its totient is φ = 4120450595328.

The previous prime is 12361424146451. The next prime is 12361424146469. The reversal of 12361424146464 is 46464142416321.

It is a happy number.

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12361424146469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24874567 + ... + 25366649.

It is an arithmetic number, because the mean of its divisors is an integer number (676019340234).

Almost surely, 2^{12361424146464} is an apocalyptic number.

It is an amenable number.

12361424146464 is an abundant number, since it is smaller than the sum of its proper divisors (20087504184768).

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

12361424146464 is a wasteful number, since it uses less digits than its factorization.

12361424146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753769 (or 753761 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 12361424146464 in words is "twelve trillion, three hundred sixty-one billion, four hundred twenty-four million, one hundred forty-six thousand, four hundred sixty-four".