1150933504896 has 384 divisors, whose sum is σ = 3929271091200. Its totient is φ = 328501536768.

The previous prime is 1150933504879. The next prime is 1150933504921. The reversal of 1150933504896 is 6984053390511.

1150933504896 is a `hidden beast` number, since 1 + 1 + 50 + 9 + 3 + 3 + 504 + 89 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 278472046 + ... + 278476178.

It is an arithmetic number, because the mean of its divisors is an integer number (10232476800).

Almost surely, 2^{1150933504896} is an apocalyptic number.

1150933504896 is a gapful number since it is divisible by the number (16) 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 1150933504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964635545600).

1150933504896 is an abundant number, since it is smaller than the sum of its proper divisors (2778337586304).

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

1150933504896 is an equidigital number, since it uses as much as digits as its factorization.

1150933504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1150933504896 in words is "one trillion, one hundred fifty billion, nine hundred thirty-three million, five hundred four thousand, eight hundred ninety-six".