456441283126104 has 128 divisors (see below), whose sum is σ = 1211815956925440. Its totient is φ = 142772399142912.

The previous prime is 456441283125983. The next prime is 456441283126141. The reversal of 456441283126104 is 401621382144654.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232697587 + ... + 234650909.

It is an arithmetic number, because the mean of its divisors is an integer number (9467312163480).

Almost surely, 2^{456441283126104} 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 456441283126104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605907978462720).

456441283126104 is an abundant number, since it is smaller than the sum of its proper divisors (755374673799336).

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

456441283126104 is a wasteful number, since it uses less digits than its factorization.

456441283126104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955049 (or 1955045 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 456441283126104 in words is "four hundred fifty-six trillion, four hundred forty-one billion, two hundred eighty-three million, one hundred twenty-six thousand, one hundred four".