1149009148800 has 384 divisors, whose sum is σ = 4223489724000. Its totient is φ = 305059184640.

The previous prime is 1149009148789. The next prime is 1149009148817. The reversal of 1149009148800 is 88419009411.

1149009148800 is a `hidden beast` number, since 11 + 490 + 0 + 9 + 148 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1149009148800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19756564 + ... + 19814636.

Almost surely, 2^{1149009148800} is an apocalyptic number.

1149009148800 is a gapful number since it is divisible by the number (10) 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 1149009148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111744862000).

1149009148800 is an abundant number, since it is smaller than the sum of its proper divisors (3074480575200).

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

1149009148800 is a wasteful number, since it uses less digits than its factorization.

1149009148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58335 (or 58312 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1149009148800 in words is "one trillion, one hundred forty-nine billion, nine million, one hundred forty-eight thousand, eight hundred".