1149407981568 has 1248 divisors, whose sum is σ = 4406060782080. Its totient is φ = 287609978880.

The previous prime is 1149407981563. The next prime is 1149407981569. The reversal of 1149407981568 is 8651897049411.

1149407981568 is a `hidden beast` number, since 1 + 1 + 494 + 0 + 7 + 9 + 81 + 5 + 68 = 666.

It is a super-2 number, since 2×1149407981568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149407981563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15745314780 + ... + 15745314852.

Almost surely, 2^{1149407981568} is an apocalyptic number.

1149407981568 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 1149407981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203030391040).

1149407981568 is an abundant number, since it is smaller than the sum of its proper divisors (3256652800512).

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

1149407981568 is an equidigital number, since it uses as much as digits as its factorization.

1149407981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1149407981568 in words is "one trillion, one hundred forty-nine billion, four hundred seven million, nine hundred eighty-one thousand, five hundred sixty-eight".