1461708468864 has 384 divisors, whose sum is σ = 4878164753280. Its totient is φ = 411485184000.

The previous prime is 1461708468797. The next prime is 1461708468917. The reversal of 1461708468864 is 4688648071641.

1461708468864 is a `hidden beast` number, since 1 + 4 + 617 + 0 + 8 + 4 + 6 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 265714114 + ... + 265719614.

It is an arithmetic number, because the mean of its divisors is an integer number (12703554045).

Almost surely, 2^{1461708468864} is an apocalyptic number.

1461708468864 is a gapful number since it is divisible by the number (14) 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 1461708468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439082376640).

1461708468864 is an abundant number, since it is smaller than the sum of its proper divisors (3416456284416).

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

1461708468864 is a wasteful number, since it uses less digits than its factorization.

1461708468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 1461708468864 in words is "one trillion, four hundred sixty-one billion, seven hundred eight million, four hundred sixty-eight thousand, eight hundred sixty-four".