110011149504384 has 128 divisors (see below), whose sum is σ = 292816451692800. Its totient is φ = 36595229024256.

The previous prime is 110011149504383. The next prime is 110011149504433. The reversal of 110011149504384 is 483405941110011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011149504383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503344312 + ... + 503562824.

It is an arithmetic number, because the mean of its divisors is an integer number (2287628528850).

Almost surely, 2^{110011149504384} 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 110011149504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146408225846400).

110011149504384 is an abundant number, since it is smaller than the sum of its proper divisors (182805302188416).

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

110011149504384 is a wasteful number, since it uses less digits than its factorization.

110011149504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221212 (or 221200 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 110011149504384 in words is "one hundred ten trillion, eleven billion, one hundred forty-nine million, five hundred four thousand, three hundred eighty-four".