1133229968640 has 2880 divisors, whose sum is σ = 5515997921280. Its totient is φ = 214990848000.

The previous prime is 1133229968617. The next prime is 1133229968641. The reversal of 1133229968640 is 468699223311.

1133229968640 is a `hidden beast` number, since 11 + 332 + 299 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133229968641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4702198920 + ... + 4702199160.

It is an arithmetic number, because the mean of its divisors is an integer number (1915277056).

Almost surely, 2^{1133229968640} is an apocalyptic number.

1133229968640 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 1133229968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757998960640).

1133229968640 is an abundant number, since it is smaller than the sum of its proper divisors (4382767952640).

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

1133229968640 is a wasteful number, since it uses less digits than its factorization.

1133229968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1133229968640 in words is "one trillion, one hundred thirty-three billion, two hundred twenty-nine million, nine hundred sixty-eight thousand, six hundred forty".