11631822048 has 384 divisors, whose sum is σ = 43763328000. Its totient is φ = 2916587520.

The previous prime is 11631822029. The next prime is 11631822067. The reversal of 11631822048 is 84022813611.

11631822048 is a `hidden beast` number, since 11 + 631 + 8 + 2 + 2 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11631822029) and next prime (11631822067).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926298 + ... + 1932326.

It is an arithmetic number, because the mean of its divisors is an integer number (113967000).

Almost surely, 2^11631822048 is an apocalyptic number.

11631822048 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 11631822048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881664000).

11631822048 is an abundant number, since it is smaller than the sum of its proper divisors (32131505952).

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

11631822048 is a wasteful number, since it uses less digits than its factorization.

11631822048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11631822048 in words is "eleven billion, six hundred thirty-one million, eight hundred twenty-two thousand, forty-eight".