1149181922448 has 320 divisors, whose sum is σ = 3837879360000. Its totient is φ = 322458402816.

The previous prime is 1149181922417. The next prime is 1149181922461. The reversal of 1149181922448 is 8442291819411.

1149181922448 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 1 + 8 + 192 + 2 + 448 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1149181922394 and 1149181922403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40086936 + ... + 40115592.

It is an arithmetic number, because the mean of its divisors is an integer number (11993373000).

Almost surely, 2^{1149181922448} is an apocalyptic number.

1149181922448 is a gapful number since it is divisible by the number (18) 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 1149181922448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918939680000).

1149181922448 is an abundant number, since it is smaller than the sum of its proper divisors (2688697437552).

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

1149181922448 is a wasteful number, since it uses less digits than its factorization.

1149181922448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28919 (or 28907 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 1149181922448 in words is "one trillion, one hundred forty-nine billion, one hundred eighty-one million, nine hundred twenty-two thousand, four hundred forty-eight".