1084063457664 has 512 divisors, whose sum is σ = 3681018432000. Its totient is φ = 310625280000.

The previous prime is 1084063457629. The next prime is 1084063457677. The reversal of 1084063457664 is 4667543604801.

1084063457664 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 0 + 6 + 3 + 4 + 576 + 64 = 666.

1084063457664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1084063457664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506334034 + ... + 506336174.

It is an arithmetic number, because the mean of its divisors is an integer number (7189489125).

Almost surely, 2^{1084063457664} 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 1084063457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840509216000).

1084063457664 is an abundant number, since it is smaller than the sum of its proper divisors (2596954974336).

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

1084063457664 is a wasteful number, since it uses less digits than its factorization.

1084063457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1084063457664 in words is "one trillion, eighty-four billion, sixty-three million, four hundred fifty-seven thousand, six hundred sixty-four".