1468653011280 has 960 divisors, whose sum is σ = 6261439242240. Its totient is φ = 300271104000.

The previous prime is 1468653011249. The next prime is 1468653011311. The reversal of 1468653011280 is 821103568641.

1468653011280 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 65 + 301 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (1468653011249) and next prime (1468653011311).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 274460605 + ... + 274465955.

It is an arithmetic number, because the mean of its divisors is an integer number (6522332544).

Almost surely, 2^{1468653011280} is an apocalyptic number.

1468653011280 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 1468653011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130719621120).

1468653011280 is an abundant number, since it is smaller than the sum of its proper divisors (4792786230960).

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

1468653011280 is a wasteful number, since it uses less digits than its factorization.

1468653011280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1468653011280 in words is "one trillion, four hundred sixty-eight billion, six hundred fifty-three million, eleven thousand, two hundred eighty".