1468150467264 has 448 divisors, whose sum is σ = 4938688298880. Its totient is φ = 423682375680.

The previous prime is 1468150467257. The next prime is 1468150467317. The reversal of 1468150467264 is 4627640518641.

1468150467264 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 1 + 504 + 6 + 72 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1468150467264.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111886624 + ... + 111899744.

It is an arithmetic number, because the mean of its divisors is an integer number (11023857810).

Almost surely, 2^{1468150467264} 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 1468150467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469344149440).

1468150467264 is an abundant number, since it is smaller than the sum of its proper divisors (3470537831616).

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

1468150467264 is a wasteful number, since it uses less digits than its factorization.

1468150467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13465 (or 13449 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1468150467264 in words is "one trillion, four hundred sixty-eight billion, one hundred fifty million, four hundred sixty-seven thousand, two hundred sixty-four".