11348568000 has 1344 divisors, whose sum is σ = 53406812160. Its totient is φ = 2230272000.

The previous prime is 11348567987. The next prime is 11348568037. The reversal of 11348568000 is 86584311.

11348568000 is a `hidden beast` number, since 113 + 485 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127511956 + ... + 127512044.

Almost surely, 2^11348568000 is an apocalyptic number.

11348568000 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 11348568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26703406080).

11348568000 is an abundant number, since it is smaller than the sum of its proper divisors (42058244160).

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

11348568000 is a wasteful number, since it uses less digits than its factorization.

11348568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11348568000 in words is "eleven billion, three hundred forty-eight million, five hundred sixty-eight thousand".