1468827066000 has 320 divisors, whose sum is σ = 5503736309760. Its totient is φ = 330040972800.

The previous prime is 1468827065983. The next prime is 1468827066001. The reversal of 1468827066000 is 6607288641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1468827066001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181627 + ... + 2774373.

It is an arithmetic number, because the mean of its divisors is an integer number (17199175968).

Almost surely, 2^{1468827066000} is an apocalyptic number.

1468827066000 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 1468827066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751868154880).

1468827066000 is an abundant number, since it is smaller than the sum of its proper divisors (4034909243760).

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

1468827066000 is a wasteful number, since it uses less digits than its factorization.

1468827066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592839 (or 592823 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1468827066000 in words is "one trillion, four hundred sixty-eight billion, eight hundred twenty-seven million, sixty-six thousand".