1468971975680 has 352 divisors, whose sum is σ = 3894297955200. Its totient is φ = 527255470080.

The previous prime is 1468971975673. The next prime is 1468971975697. The reversal of 1468971975680 is 865791798641.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1468971975680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619593787 + ... + 1619594693.

Almost surely, 2^{1468971975680} is an apocalyptic number.

1468971975680 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 1468971975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947148977600).

1468971975680 is an abundant number, since it is smaller than the sum of its proper divisors (2425325979520).

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

1468971975680 is a wasteful number, since it uses less digits than its factorization.

1468971975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 71.

The spelling of 1468971975680 in words is "one trillion, four hundred sixty-eight billion, nine hundred seventy-one million, nine hundred seventy-five thousand, six hundred eighty".