1264450656000 has 576 divisors, whose sum is σ = 4808367083520. Its totient is φ = 288505036800.

The previous prime is 1264450655959. The next prime is 1264450656031. The reversal of 1264450656000 is 6560544621.

It is a super-2 number, since 2×1264450656000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1264450656000.

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 63 ways as a sum of consecutive naturals, for example, 483166692 + ... + 483169308.

It is an arithmetic number, because the mean of its divisors is an integer number (8347859520).

Almost surely, 2^{1264450656000} is an apocalyptic number.

1264450656000 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 1264450656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404183541760).

1264450656000 is an abundant number, since it is smaller than the sum of its proper divisors (3543916427520).

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

1264450656000 is an equidigital number, since it uses as much as digits as its factorization.

1264450656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 1264450656000 in words is "one trillion, two hundred sixty-four billion, four hundred fifty million, six hundred fifty-six thousand".