1468232812800 has 1296 divisors, whose sum is σ = 6144381734400. Its totient is φ = 331245158400.

The previous prime is 1468232812789. The next prime is 1468232812811. The reversal of 1468232812800 is 82182328641.

1468232812800 is a `hidden beast` number, since 1 + 4 + 68 + 232 + 81 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1468232812789) and next prime (1468232812811).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441041536 + ... + 441044864.

Almost surely, 2^{1468232812800} is an apocalyptic number.

1468232812800 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 1468232812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072190867200).

1468232812800 is an abundant number, since it is smaller than the sum of its proper divisors (4676148921600).

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

1468232812800 is a wasteful number, since it uses less digits than its factorization.

1468232812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1468232812800 in words is "one trillion, four hundred sixty-eight billion, two hundred thirty-two million, eight hundred twelve thousand, eight hundred".