1468535537664 has 864 divisors, whose sum is σ = 4987796958144. Its totient is φ = 412216197120.

The previous prime is 1468535537641. The next prime is 1468535537683. The reversal of 1468535537664 is 4667355358641.

1468535537664 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 5 + 3 + 553 + 76 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11210194879 + ... + 11210195009.

It is an arithmetic number, because the mean of its divisors is an integer number (5772913146).

Almost surely, 2^{1468535537664} 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 1468535537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493898479072).

1468535537664 is an abundant number, since it is smaller than the sum of its proper divisors (3519261420480).

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

1468535537664 is a wasteful number, since it uses less digits than its factorization.

1468535537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 1468535537664 in words is "one trillion, four hundred sixty-eight billion, five hundred thirty-five million, five hundred thirty-seven thousand, six hundred sixty-four".