11981628554064 has 160 divisors (see below), whose sum is σ = 33583835913600. Its totient is φ = 3658985256960.

The previous prime is 11981628554041. The next prime is 11981628554087. The reversal of 11981628554064 is 46045582618911.

It is an interprime number because it is at equal distance from previous prime (11981628554041) and next prime (11981628554087).

It is a junction number, because it is equal to n+sod(n) for n = 11981628553989 and 11981628554007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300867274 + ... + 300907094.

It is an arithmetic number, because the mean of its divisors is an integer number (209898974460).

Almost surely, 2^{11981628554064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11981628554064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791917956800).

11981628554064 is an abundant number, since it is smaller than the sum of its proper divisors (21602207359536).

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

11981628554064 is a wasteful number, since it uses less digits than its factorization.

11981628554064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43453 (or 43447 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 11981628554064 in words is "eleven trillion, nine hundred eighty-one billion, six hundred twenty-eight million, five hundred fifty-four thousand, sixty-four".