110361968640 has 1152 divisors, whose sum is σ = 495261527040. Its totient is φ = 22932357120.

The previous prime is 110361968621. The next prime is 110361968641. The reversal of 110361968640 is 46869163011.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110361968641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10032906235 + ... + 10032906245.

It is an arithmetic number, because the mean of its divisors is an integer number (429914520).

Almost surely, 2^110361968640 is an apocalyptic number.

110361968640 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 110361968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247630763520).

110361968640 is an abundant number, since it is smaller than the sum of its proper divisors (384899558400).

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

110361968640 is an frugal number, since it uses more digits than its factorization.

110361968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 110361968640 its product of nonzero digits (186624), we get a square (110362155264 = 332208²).

The spelling of 110361968640 in words is "one hundred ten billion, three hundred sixty-one million, nine hundred sixty-eight thousand, six hundred forty".