1091088440064 has 216 divisors, whose sum is σ = 3598306901280. Its totient is φ = 311477796864.

The previous prime is 1091088440063. The next prime is 1091088440069. The reversal of 1091088440064 is 4600448801901.

1091088440064 is a `hidden beast` number, since 1 + 0 + 9 + 108 + 84 + 400 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1091088440063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19599982 + ... + 19655570.

Almost surely, 2^{1091088440064} is an apocalyptic number.

1091088440064 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 1091088440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799153450640).

1091088440064 is an abundant number, since it is smaller than the sum of its proper divisors (2507218461216).

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

1091088440064 is a wasteful number, since it uses less digits than its factorization.

1091088440064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56835 (or 56818 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1091088440064 in words is "one trillion, ninety-one billion, eighty-eight million, four hundred forty thousand, sixty-four".