1456044465504 has 96 divisors (see below), whose sum is σ = 3856463654400. Its totient is φ = 480998515712.

The previous prime is 1456044465493. The next prime is 1456044465529. The reversal of 1456044465504 is 4055644406541.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7785637 + ... + 7970459.

It is an arithmetic number, because the mean of its divisors is an integer number (40171496400).

Almost surely, 2^{1456044465504} 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 1456044465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928231827200).

1456044465504 is an abundant number, since it is smaller than the sum of its proper divisors (2400419188896).

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

1456044465504 is a wasteful number, since it uses less digits than its factorization.

1456044465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185572 (or 185564 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 1456044465504 in words is "one trillion, four hundred fifty-six billion, forty-four million, four hundred sixty-five thousand, five hundred four".