1468497808960 has 224 divisors, whose sum is σ = 4391665689600. Its totient is φ = 464754898944.

The previous prime is 1468497808919. The next prime is 1468497808993. The reversal of 1468497808960 is 698087948641.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 1468497808960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912297 + ... + 1941463.

It is an arithmetic number, because the mean of its divisors is an integer number (19605650400).

Almost surely, 2^{1468497808960} is an apocalyptic number.

1468497808960 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 1468497808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195832844800).

1468497808960 is an abundant number, since it is smaller than the sum of its proper divisors (2923167880640).

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

1468497808960 is a wasteful number, since it uses less digits than its factorization.

1468497808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029218 (or 1029194 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 70.

The spelling of 1468497808960 in words is "one trillion, four hundred sixty-eight billion, four hundred ninety-seven million, eight hundred eight thousand, nine hundred sixty".