11948864256 has 576 divisors, whose sum is σ = 43561728000. Its totient is φ = 3153199104.

The previous prime is 11948864227. The next prime is 11948864261. The reversal of 11948864256 is 65246884911.

11948864256 is a `hidden beast` number, since 119 + 488 + 6 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 60044445 + ... + 60044643.

It is an arithmetic number, because the mean of its divisors is an integer number (75628000).

Almost surely, 2^11948864256 is an apocalyptic number.

11948864256 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 11948864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780864000).

11948864256 is an abundant number, since it is smaller than the sum of its proper divisors (31612863744).

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

11948864256 is a wasteful number, since it uses less digits than its factorization.

11948864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 11948864256 in words is "eleven billion, nine hundred forty-eight million, eight hundred sixty-four thousand, two hundred fifty-six".