1456999966800 has 1080 divisors, whose sum is σ = 6248686275000. Its totient is φ = 312382586880.

The previous prime is 1456999966759. The next prime is 1456999966813. The reversal of 1456999966800 is 86699996541.

1456999966800 is a `hidden beast` number, since 1 + 456 + 9 + 9 + 9 + 96 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 426320196624 + 1030679770176 = 652932^2 + 1015224^2 .

It is a super-2 number, since 2×1456999966800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1166532576 + ... + 1166533824.

It is an arithmetic number, because the mean of its divisors is an integer number (5785820625).

Almost surely, 2^{1456999966800} is an apocalyptic number.

1456999966800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456999966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124343137500).

1456999966800 is an abundant number, since it is smaller than the sum of its proper divisors (4791686308200).

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

1456999966800 is a wasteful number, since it uses less digits than its factorization.

1456999966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 1456999966800 in words is "one trillion, four hundred fifty-six billion, nine hundred ninety-nine million, nine hundred sixty-six thousand, eight hundred".