1149918189984 has 240 divisors, whose sum is σ = 3491188126272. Its totient is φ = 371074701312.

The previous prime is 1149918189983. The next prime is 1149918190039. The reversal of 1149918189984 is 4899818199411.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1149918189983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12548877 + ... + 12640179.

Almost surely, 2^{1149918189984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149918189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745594063136).

1149918189984 is an abundant number, since it is smaller than the sum of its proper divisors (2341269936288).

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

1149918189984 is a wasteful number, since it uses less digits than its factorization.

1149918189984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91481 (or 91464 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 72.

The spelling of 1149918189984 in words is "one trillion, one hundred forty-nine billion, nine hundred eighteen million, one hundred eighty-nine thousand, nine hundred eighty-four".