4464561231456 has 96 divisors (see below), whose sum is σ = 11841839872128. Its totient is φ = 1472652472320.

The previous prime is 4464561231443. The next prime is 4464561231463. The reversal of 4464561231456 is 6541321654644.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4464561231399 and 4464561231408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83064111 + ... + 83117841.

It is an arithmetic number, because the mean of its divisors is an integer number (123352498668).

Almost surely, 2^{4464561231456} 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 4464561231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920919936064).

4464561231456 is an abundant number, since it is smaller than the sum of its proper divisors (7377278640672).

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

4464561231456 is a wasteful number, since it uses less digits than its factorization.

4464561231456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62764 (or 62756 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 4464561231456 in words is "four trillion, four hundred sixty-four billion, five hundred sixty-one million, two hundred thirty-one thousand, four hundred fifty-six".