11631222932800 has 42 divisors (see below), whose sum is σ = 28620077932958. Its totient is φ = 4652489172480.

The previous prime is 11631222932773. The next prime is 11631222932803. The reversal of 11631222932800 is 823922213611.

It can be written as a sum of positive squares in 3 ways, for example, as 558471424 + 11630664461376 = 23632^2 + 3410376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631222932803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3634755567 + ... + 3634758766.

Almost surely, 2^{11631222932800} is an apocalyptic number.

11631222932800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631222932800 is an abundant number, since it is smaller than the sum of its proper divisors (16988855000158).

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

11631222932800 is an equidigital number, since it uses as much as digits as its factorization.

11631222932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269514355 (or 7269514340 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 11631222932800 in words is "eleven trillion, six hundred thirty-one billion, two hundred twenty-two million, nine hundred thirty-two thousand, eight hundred".