1105893314640 has 240 divisors, whose sum is σ = 3934057061376. Its totient is φ = 277442457600.

The previous prime is 1105893314629. The next prime is 1105893314689. The reversal of 1105893314640 is 464133985011.

1105893314640 is a `hidden beast` number, since 1 + 1 + 0 + 589 + 3 + 3 + 1 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31696405 + ... + 31731275.

Almost surely, 2^{1105893314640} is an apocalyptic number.

1105893314640 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 1105893314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967028530688).

1105893314640 is an abundant number, since it is smaller than the sum of its proper divisors (2828163746736).

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

1105893314640 is a wasteful number, since it uses less digits than its factorization.

1105893314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37498 (or 37489 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1105893314640 in words is "one trillion, one hundred five billion, eight hundred ninety-three million, three hundred fourteen thousand, six hundred forty".