1101917664 has 72 divisors (see below), whose sum is σ = 3184999272. Its totient is φ = 361278720.

The previous prime is 1101917639. The next prime is 1101917693. The reversal of 1101917664 is 4667191011.

1101917664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13794 + ... + 48929.

It is an arithmetic number, because the mean of its divisors is an integer number (44236101).

Almost surely, 2^1101917664 is an apocalyptic number.

It is an amenable number.

1101917664 is an abundant number, since it is smaller than the sum of its proper divisors (2083081608).

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

1101917664 is a wasteful number, since it uses less digits than its factorization.

1101917664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62800 (or 62789 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1101917664 is about 33195.1451872107. The cubic root of 1101917664 is about 1032.8796358145.

It can be divided in two parts, 110191 and 7664, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 1101917664 in words is "one billion, one hundred one million, nine hundred seventeen thousand, six hundred sixty-four".