1461064459968 has 168 divisors, whose sum is σ = 4431139372400. Its totient is φ = 458997497856.

The previous prime is 1461064459913. The next prime is 1461064459979. The reversal of 1461064459968 is 8699544601641.

It is a happy number.

1461064459968 is a `hidden beast` number, since 1 + 4 + 61 + 0 + 64 + 459 + 9 + 68 = 666.

It is a super-2 number, since 2×1461064459968² (a number of 25 digits) contains 22 as substring.

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, 1766328 + ... + 2458056.

Almost surely, 2^{1461064459968} is an apocalyptic number.

1461064459968 is a gapful number since it is divisible by the number (18) 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 1461064459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215569686200).

1461064459968 is an abundant number, since it is smaller than the sum of its proper divisors (2970074912432).

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

1461064459968 is a wasteful number, since it uses less digits than its factorization.

1461064459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691959 (or 691946 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 1461064459968 in words is "one trillion, four hundred sixty-one billion, sixty-four million, four hundred fifty-nine thousand, nine hundred sixty-eight".