12464419083264 has 704 divisors, whose sum is σ = 38616546918400. Its totient is φ = 3967178342400.

The previous prime is 12464419083257. The next prime is 12464419083301. The reversal of 12464419083264 is 46238091446421.

12464419083264 is a `hidden beast` number, since 1 + 2 + 464 + 4 + 1 + 90 + 8 + 32 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12464419083264.

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, 28392753957 + ... + 28392754395.

It is an arithmetic number, because the mean of its divisors is an integer number (54853049600).

Almost surely, 2^{12464419083264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12464419083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308273459200).

12464419083264 is an abundant number, since it is smaller than the sum of its proper divisors (26152127835136).

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

12464419083264 is a wasteful number, since it uses less digits than its factorization.

12464419083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 12464419083264 in words is "twelve trillion, four hundred sixty-four billion, four hundred nineteen million, eighty-three thousand, two hundred sixty-four".