12465492634560 has 448 divisors, whose sum is σ = 45585969149952. Its totient is φ = 2827021369344.

The previous prime is 12465492634493. The next prime is 12465492634571. The reversal of 12465492634560 is 6543629456421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 12465492634560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584757022 + ... + 584778338.

It is an arithmetic number, because the mean of its divisors is an integer number (101754395424).

Almost surely, 2^{12465492634560} is an apocalyptic number.

12465492634560 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 12465492634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22792984574976).

12465492634560 is an abundant number, since it is smaller than the sum of its proper divisors (33120476515392).

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

12465492634560 is a wasteful number, since it uses less digits than its factorization.

12465492634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22020 (or 22010 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 12465492634560 in words is "twelve trillion, four hundred sixty-five billion, four hundred ninety-two million, six hundred thirty-four thousand, five hundred sixty".