1123631692800 has 528 divisors, whose sum is σ = 3843727557120. Its totient is φ = 289302773760.

The previous prime is 1123631692727. The next prime is 1123631692853. The reversal of 1123631692800 is 82961363211.

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, 293911689 + ... + 293915511.

It is an arithmetic number, because the mean of its divisors is an integer number (7279787040).

Almost surely, 2^{1123631692800} is an apocalyptic number.

1123631692800 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 1123631692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921863778560).

1123631692800 is an abundant number, since it is smaller than the sum of its proper divisors (2720095864320).

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

1123631692800 is a wasteful number, since it uses less digits than its factorization.

1123631692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 1123631692800 in words is "one trillion, one hundred twenty-three billion, six hundred thirty-one million, six hundred ninety-two thousand, eight hundred".