11868948000 has 576 divisors, whose sum is σ = 51857874432. Its totient is φ = 2503526400.

The previous prime is 11868947983. The next prime is 11868948011. The reversal of 11868948000 is 84986811.

11868948000 is a `hidden beast` number, since 11 + 86 + 89 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3274189 + ... + 3277811.

It is an arithmetic number, because the mean of its divisors is an integer number (90031032).

Almost surely, 2^11868948000 is an apocalyptic number.

11868948000 is a gapful number since it is divisible by the number (10) 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 11868948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25928937216).

11868948000 is an abundant number, since it is smaller than the sum of its proper divisors (39988926432).

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

11868948000 is a wasteful number, since it uses less digits than its factorization.

11868948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11868948000 in words is "eleven billion, eight hundred sixty-eight million, nine hundred forty-eight thousand".