1128506904864 has 384 divisors, whose sum is σ = 3583964160000. Its totient is φ = 344153318400.

The previous prime is 1128506904857. The next prime is 1128506904893. The reversal of 1128506904864 is 4684096058211.

1128506904864 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 506 + 90 + 48 + 6 + 4 = 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 1128506904864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275310687 + ... + 275314785.

It is an arithmetic number, because the mean of its divisors is an integer number (9333240000).

Almost surely, 2^{1128506904864} 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 1128506904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791982080000).

1128506904864 is an abundant number, since it is smaller than the sum of its proper divisors (2455457255136).

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

1128506904864 is a wasteful number, since it uses less digits than its factorization.

1128506904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1128506904864 in words is "one trillion, one hundred twenty-eight billion, five hundred six million, nine hundred four thousand, eight hundred sixty-four".