1149833053152 has 288 divisors, whose sum is σ = 3877787257344. Its totient is φ = 328318272000.

The previous prime is 1149833053129. The next prime is 1149833053199. The reversal of 1149833053152 is 2513503389411.

1149833053152 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 83 + 30 + 531 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1149833053098 and 1149833053107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101292277 + ... + 101303627.

It is an arithmetic number, because the mean of its divisors is an integer number (13464539088).

Almost surely, 2^{1149833053152} is an apocalyptic number.

1149833053152 is a gapful number since it is divisible by the number (12) 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 1149833053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938893628672).

1149833053152 is an abundant number, since it is smaller than the sum of its proper divisors (2727954204192).

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

1149833053152 is a wasteful number, since it uses less digits than its factorization.

1149833053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13224 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1149833053152 in words is "one trillion, one hundred forty-nine billion, eight hundred thirty-three million, fifty-three thousand, one hundred fifty-two".