11862445056 has 528 divisors, whose sum is σ = 40981398528. Its totient is φ = 2984509440.

The previous prime is 11862445019. The next prime is 11862445087. The reversal of 11862445056 is 65054426811.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11862444999 and 11862445017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122293200 + ... + 122293296.

Almost surely, 2^11862445056 is an apocalyptic number.

11862445056 is a gapful number since it is divisible by the number (16) 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 11862445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490699264).

11862445056 is an abundant number, since it is smaller than the sum of its proper divisors (29118953472).

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

11862445056 is a wasteful number, since it uses less digits than its factorization.

11862445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11862445056 in words is "eleven billion, eight hundred sixty-two million, four hundred forty-five thousand, fifty-six".