11104460640 has 768 divisors, whose sum is σ = 48933642240. Its totient is φ = 2289254400.

The previous prime is 11104460621. The next prime is 11104460663. The reversal of 11104460640 is 4606440111.

11104460640 is a `hidden beast` number, since 1 + 1 + 10 + 4 + 4 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×11104460640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18476340 + ... + 18476940.

It is an arithmetic number, because the mean of its divisors is an integer number (63715680).

Almost surely, 2^11104460640 is an apocalyptic number.

11104460640 is a gapful number since it is divisible by the number (10) 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 11104460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466821120).

11104460640 is an abundant number, since it is smaller than the sum of its proper divisors (37829181600).

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

11104460640 is a wasteful number, since it uses less digits than its factorization.

11104460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11104460640 in words is "eleven billion, one hundred four million, four hundred sixty thousand, six hundred forty".