9114119481600 has 1215 divisors, whose sum is σ = 39266491749177. Its totient is φ = 2079749468160.

The previous prime is 9114119481583. The next prime is 9114119481611. The reversal of 9114119481600 is 61849114119.

The square root of 9114119481600 is 3018960.

It is a perfect power (a square), and thus also a powerful number.

9114119481600 is a `hidden beast` number, since 9 + 11 + 411 + 94 + 81 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3281083013376 + 5833036468224 = 1811376^2 + 2415168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15215558101 + ... + 15215558699.

Almost surely, 2^{9114119481600} is an apocalyptic number.

9114119481600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9114119481600 is the 3018960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9114119481600

9114119481600 is an abundant number, since it is smaller than the sum of its proper divisors (30152372267577).

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

9114119481600 is an frugal number, since it uses more digits than its factorization.

9114119481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 9114119481600 in words is "nine trillion, one hundred fourteen billion, one hundred nineteen million, four hundred eighty-one thousand, six hundred".