1133736468480 has 1008 divisors, whose sum is σ = 4938277623552. Its totient is φ = 235516723200.

The previous prime is 1133736468439. The next prime is 1133736468523. The reversal of 1133736468480 is 848646373311.

It is a happy number.

1133736468480 is a `hidden beast` number, since 1 + 1 + 33 + 73 + 6 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312236265 + ... + 312239895.

It is an arithmetic number, because the mean of its divisors is an integer number (4899084944).

Almost surely, 2^{1133736468480} is an apocalyptic number.

1133736468480 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 1133736468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469138811776).

1133736468480 is an abundant number, since it is smaller than the sum of its proper divisors (3804541155072).

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

1133736468480 is a wasteful number, since it uses less digits than its factorization.

1133736468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1133736468480 in words is "one trillion, one hundred thirty-three billion, seven hundred thirty-six million, four hundred sixty-eight thousand, four hundred eighty".