1466783144064 has 512 divisors, whose sum is σ = 5016968409600. Its totient is φ = 413228335104.

The previous prime is 1466783144063. The next prime is 1466783144069. The reversal of 1466783144064 is 4604413876641.

1466783144064 is a `hidden beast` number, since 1 + 4 + 6 + 67 + 83 + 1 + 440 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1466783144064.

It is not an unprimeable number, because it can be changed into a prime (1466783144063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 734492314 + ... + 734494310.

It is an arithmetic number, because the mean of its divisors is an integer number (9798766425).

Almost surely, 2^{1466783144064} is an apocalyptic number.

1466783144064 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 1466783144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508484204800).

1466783144064 is an abundant number, since it is smaller than the sum of its proper divisors (3550185265536).

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

1466783144064 is a wasteful number, since it uses less digits than its factorization.

1466783144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 1466783144064 in words is "one trillion, four hundred sixty-six billion, seven hundred eighty-three million, one hundred forty-four thousand, sixty-four".