1101310928064 has 448 divisors, whose sum is σ = 3495226944000. Its totient is φ = 338924113920.

The previous prime is 1101310928063. The next prime is 1101310928077. The reversal of 1101310928064 is 4608290131011.

1101310928064 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 310 + 9 + 280 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1101310928063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170361834 + ... + 1170362774.

Almost surely, 2^{1101310928064} 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 1101310928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747613472000).

1101310928064 is an abundant number, since it is smaller than the sum of its proper divisors (2393916015936).

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

1101310928064 is a wasteful number, since it uses less digits than its factorization.

1101310928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1101310928064 in words is "one trillion, one hundred one billion, three hundred ten million, nine hundred twenty-eight thousand, sixty-four".