1155662144 has 224 divisors, whose sum is σ = 3009570816. Its totient is φ = 427991040.

The previous prime is 1155662129. The next prime is 1155662149. The reversal of 1155662144 is 4412665511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155662149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6680042 + ... + 6680214.

It is an arithmetic number, because the mean of its divisors is an integer number (13435584).

Almost surely, 2^1155662144 is an apocalyptic number.

1155662144 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 1155662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504785408).

1155662144 is an abundant number, since it is smaller than the sum of its proper divisors (1853908672).

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

1155662144 is a wasteful number, since it uses less digits than its factorization.

1155662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 1155662144 is about 33995.0311663337. The cubic root of 1155662144 is about 1049.4062081799.

The spelling of 1155662144 in words is "one billion, one hundred fifty-five million, six hundred sixty-two thousand, one hundred forty-four".