11148658560000 has 2200 divisors, whose sum is σ = 45627916317984. Its totient is φ = 2694021120000.

The previous prime is 11148658559999. The next prime is 11148658560031. The reversal of 11148658560000 is 6585684111.

11148658560000 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 8 + 6 + 585 + 60 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×11148658560000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 47848319884 + ... + 47848320116.

Almost surely, 2^{11148658560000} is an apocalyptic number.

11148658560000 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 11148658560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813958158992).

11148658560000 is an abundant number, since it is smaller than the sum of its proper divisors (34479257757984).

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

11148658560000 is an equidigital number, since it uses as much as digits as its factorization.

11148658560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11148658560000 in words is "eleven trillion, one hundred forty-eight billion, six hundred fifty-eight million, five hundred sixty thousand".