1149406347648 has 192 divisors, whose sum is σ = 3324534062400. Its totient is φ = 351684163584.

The previous prime is 1149406347643. The next prime is 1149406347703. The reversal of 1149406347648 is 8467436049411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1149406347648² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149406347643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11566911 + ... + 11665857.

It is an arithmetic number, because the mean of its divisors is an integer number (17315281575).

Almost surely, 2^{1149406347648} 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 1149406347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662267031200).

1149406347648 is an abundant number, since it is smaller than the sum of its proper divisors (2175127714752).

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

1149406347648 is a wasteful number, since it uses less digits than its factorization.

1149406347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99169 (or 99144 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 1149406347648 in words is "one trillion, one hundred forty-nine billion, four hundred six million, three hundred forty-seven thousand, six hundred forty-eight".