11468352000 has 960 divisors, whose sum is σ = 47156338944. Its totient is φ = 2460057600.

The previous prime is 11468351989. The next prime is 11468352019. The reversal of 11468352000 is 25386411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 216383974 + ... + 216384026.

Almost surely, 2^11468352000 is an apocalyptic number.

11468352000 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 11468352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578169472).

11468352000 is an abundant number, since it is smaller than the sum of its proper divisors (35687986944).

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

11468352000 is an equidigital number, since it uses as much as digits as its factorization.

11468352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11468352000 in words is "eleven billion, four hundred sixty-eight million, three hundred fifty-two thousand".