1468283214960 has 240 divisors, whose sum is σ = 5222312447040. Its totient is φ = 368420659200.

The previous prime is 1468283214953. The next prime is 1468283215013. The reversal of 1468283214960 is 694123828641.

1468283214960 is a `hidden beast` number, since 1 + 4 + 68 + 283 + 214 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1468283214897 and 1468283214906.

It is a congruent number.

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, 60588126 + ... + 60612354.

It is an arithmetic number, because the mean of its divisors is an integer number (21759635196).

Almost surely, 2^{1468283214960} is an apocalyptic number.

1468283214960 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 1468283214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611156223520).

1468283214960 is an abundant number, since it is smaller than the sum of its proper divisors (3754029232080).

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

1468283214960 is a wasteful number, since it uses less digits than its factorization.

1468283214960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 29207 counting only the distinct ones).

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

The spelling of 1468283214960 in words is "one trillion, four hundred sixty-eight billion, two hundred eighty-three million, two hundred fourteen thousand, nine hundred sixty".