1468399635456 has 264 divisors, whose sum is σ = 4355347236912. Its totient is φ = 437229158400.

The previous prime is 1468399635401. The next prime is 1468399635467. The reversal of 1468399635456 is 6545369938641.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38359366 + ... + 38397626.

Almost surely, 2^{1468399635456} is an apocalyptic number.

1468399635456 is a gapful number since it is divisible by the number (16) 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 1468399635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177673618456).

1468399635456 is an abundant number, since it is smaller than the sum of its proper divisors (2886947601456).

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

1468399635456 is a wasteful number, since it uses less digits than its factorization.

1468399635456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38359 (or 38310 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 69.

The spelling of 1468399635456 in words is "one trillion, four hundred sixty-eight billion, three hundred ninety-nine million, six hundred thirty-five thousand, four hundred fifty-six".