1099564812864 has 336 divisors, whose sum is σ = 3795754135680. Its totient is φ = 297294520320.

The previous prime is 1099564812851. The next prime is 1099564812869. The reversal of 1099564812864 is 4682184659901.

1099564812864 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 564 + 8 + 1 + 2 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (1099564812869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 72999894 + ... + 73014954.

Almost surely, 2^{1099564812864} is an apocalyptic number.

1099564812864 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 1099564812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897877067840).

1099564812864 is an abundant number, since it is smaller than the sum of its proper divisors (2696189322816).

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

1099564812864 is a wasteful number, since it uses less digits than its factorization.

1099564812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16058 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1099564812864 in words is "one trillion, ninety-nine billion, five hundred sixty-four million, eight hundred twelve thousand, eight hundred sixty-four".