9144938880 has 1280 divisors, whose sum is σ = 42653952000. Its totient is φ = 1811496960.

The previous prime is 9144938861. The next prime is 9144938903. The reversal of 9144938880 is 888394419.

9144938880 is a `hidden beast` number, since 91 + 449 + 38 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 115758681 + ... + 115758759.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^9144938880 is an apocalyptic number.

9144938880 is a gapful number since it is divisible by the number (90) 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 9144938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326976000).

9144938880 is an abundant number, since it is smaller than the sum of its proper divisors (33509013120).

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

9144938880 is a wasteful number, since it uses less digits than its factorization.

9144938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9144938880 is about 95629.1737912652. The cubic root of 9144938880 is about 2091.1905246015.

The spelling of 9144938880 in words is "nine billion, one hundred forty-four million, nine hundred thirty-eight thousand, eight hundred eighty".