1468434816090 has 192 divisors, whose sum is σ = 4359650480640. Its totient is φ = 352656555840.

The previous prime is 1468434816089. The next prime is 1468434816103. The reversal of 1468434816090 is 906184348641.

1468434816090 is a `hidden beast` number, since 1 + 4 + 68 + 43 + 481 + 60 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2603401 + ... + 3116819.

It is an arithmetic number, because the mean of its divisors is an integer number (22706512920).

Almost surely, 2^{1468434816090} is an apocalyptic number.

1468434816090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468434816090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179825240320).

1468434816090 is an abundant number, since it is smaller than the sum of its proper divisors (2891215664550).

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

1468434816090 is a wasteful number, since it uses less digits than its factorization.

1468434816090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513559 (or 513547 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1468434816090 in words is "one trillion, four hundred sixty-eight billion, four hundred thirty-four million, eight hundred sixteen thousand, ninety".