1103162920704 has 864 divisors, whose sum is σ = 3896372874240. Its totient is φ = 305412636672.

The previous prime is 1103162920621. The next prime is 1103162920709. The reversal of 1103162920704 is 4070292613011.

1103162920704 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 629 + 20 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103162920709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597271909 + ... + 597273755.

Almost surely, 2^{1103162920704} 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 1103162920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948186437120).

1103162920704 is an abundant number, since it is smaller than the sum of its proper divisors (2793209953536).

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

1103162920704 is a wasteful number, since it uses less digits than its factorization.

1103162920704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1103162920704 in words is "one trillion, one hundred three billion, one hundred sixty-two million, nine hundred twenty thousand, seven hundred four".