1473145812864 has 576 divisors, whose sum is σ = 4847905062000. Its totient is φ = 444951429120.

The previous prime is 1473145812847. The next prime is 1473145812871. The reversal of 1473145812864 is 4682185413741.

It is a happy number.

1473145812864 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 1 + 458 + 128 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 1473145812864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915663872 + ... + 1915664640.

Almost surely, 2^{1473145812864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473145812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423952531000).

1473145812864 is an abundant number, since it is smaller than the sum of its proper divisors (3374759249136).

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

1473145812864 is an equidigital number, since it uses as much as digits as its factorization.

1473145812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1294 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 1473145812864 in words is "one trillion, four hundred seventy-three billion, one hundred forty-five million, eight hundred twelve thousand, eight hundred sixty-four".