1105501561164 has 1728 divisors, whose sum is σ = 4199049953280. Its totient is φ = 237338449920.

The previous prime is 1105501561163. The next prime is 1105501561169. The reversal of 1105501561164 is 4611651055011.

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

It is not an unprimeable number, because it can be changed into a prime (1105501561163) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18737314567 + ... + 18737314625.

It is an arithmetic number, because the mean of its divisors is an integer number (2430005760).

Almost surely, 2^{1105501561164} is an apocalyptic number.

1105501561164 is a gapful number since it is divisible by the number (14) 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 1105501561164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099524976640).

1105501561164 is an abundant number, since it is smaller than the sum of its proper divisors (3093548392116).

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

1105501561164 is a wasteful number, since it uses less digits than its factorization.

1105501561164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 1105501561164 in words is "one trillion, one hundred five billion, five hundred one million, five hundred sixty-one thousand, one hundred sixty-four".