1136436224000 has 1344 divisors, whose sum is σ = 3775964325120. Its totient is φ = 337182720000.

The previous prime is 1136436223997. The next prime is 1136436224051. The reversal of 1136436224000 is 4226346311.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 16006143965 + ... + 16006144035.

Almost surely, 2^{1136436224000} is an apocalyptic number.

1136436224000 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 1136436224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887982162560).

1136436224000 is an abundant number, since it is smaller than the sum of its proper divisors (2639528101120).

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

1136436224000 is an equidigital number, since it uses as much as digits as its factorization.

1136436224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 1136436224000 in words is "one trillion, one hundred thirty-six billion, four hundred thirty-six million, two hundred twenty-four thousand".