1133145406368 has 192 divisors, whose sum is σ = 3326215173120. Its totient is φ = 375298189056.

The previous prime is 1133145406333. The next prime is 1133145406387. The reversal of 1133145406368 is 8636045413311.

1133145406368 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 4 + 5 + 4 + 0 + 636 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102569421 + ... + 102580467.

It is an arithmetic number, because the mean of its divisors is an integer number (17324037360).

Almost surely, 2^{1133145406368} is an apocalyptic number.

1133145406368 is a gapful number since it is divisible by the number (18) 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 1133145406368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663107586560).

1133145406368 is an abundant number, since it is smaller than the sum of its proper divisors (2193069766752).

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

1133145406368 is a wasteful number, since it uses less digits than its factorization.

1133145406368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11802 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1133145406368 in words is "one trillion, one hundred thirty-three billion, one hundred forty-five million, four hundred six thousand, three hundred sixty-eight".