1150984194048 has 480 divisors, whose sum is σ = 3713310881280. Its totient is φ = 353102561280.

The previous prime is 1150984194037. The next prime is 1150984194049. The reversal of 1150984194048 is 8404914890511.

1150984194048 is a `hidden beast` number, since 1 + 1 + 509 + 8 + 4 + 1 + 94 + 0 + 48 = 666.

It is a super-2 number, since 2×1150984194048² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1150984193985 and 1150984194003.

It is not an unprimeable number, because it can be changed into a prime (1150984194049) 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, 1058862561 + ... + 1058863647.

It is an arithmetic number, because the mean of its divisors is an integer number (7736064336).

Almost surely, 2^{1150984194048} is an apocalyptic number.

1150984194048 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 1150984194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856655440640).

1150984194048 is an abundant number, since it is smaller than the sum of its proper divisors (2562326687232).

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

1150984194048 is a wasteful number, since it uses less digits than its factorization.

1150984194048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1150984194048 in words is "one trillion, one hundred fifty billion, nine hundred eighty-four million, one hundred ninety-four thousand, forty-eight".