1149108952320 has 864 divisors, whose sum is σ = 4725513461760. Its totient is φ = 252275834880.

The previous prime is 1149108952309. The next prime is 1149108952333. The reversal of 1149108952320 is 232598019411.

1149108952320 is a `hidden beast` number, since 1 + 1 + 49 + 1 + 0 + 89 + 523 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 347476107 + ... + 347479413.

Almost surely, 2^{1149108952320} is an apocalyptic number.

1149108952320 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 1149108952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362756730880).

1149108952320 is an abundant number, since it is smaller than the sum of its proper divisors (3576404509440).

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

1149108952320 is a wasteful number, since it uses less digits than its factorization.

1149108952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1149108952320 in words is "one trillion, one hundred forty-nine billion, one hundred eight million, nine hundred fifty-two thousand, three hundred twenty".