1456340623104 has 144 divisors (see below), whose sum is σ = 4010809975200. Its totient is φ = 468571127808.

The previous prime is 1456340623099. The next prime is 1456340623151. The reversal of 1456340623104 is 4013260436541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100506292 + ... + 100520780.

It is an arithmetic number, because the mean of its divisors is an integer number (27852847050).

Almost surely, 2^{1456340623104} 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 1456340623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005404987600).

1456340623104 is an abundant number, since it is smaller than the sum of its proper divisors (2554469352096).

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

1456340623104 is a wasteful number, since it uses less digits than its factorization.

1456340623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19036 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1456340623104 in words is "one trillion, four hundred fifty-six billion, three hundred forty million, six hundred twenty-three thousand, one hundred four".