11148181390080 has 1152 divisors, whose sum is σ = 46235476224000. Its totient is φ = 2542598553600.

The previous prime is 11148181390043. The next prime is 11148181390153. The reversal of 11148181390080 is 8009318184111.

11148181390080 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 8 + 181 + 390 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11148181390080² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8191168600 + ... + 8191169960.

It is an arithmetic number, because the mean of its divisors is an integer number (40134962000).

Almost surely, 2^{11148181390080} is an apocalyptic number.

11148181390080 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 11148181390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23117738112000).

11148181390080 is an abundant number, since it is smaller than the sum of its proper divisors (35087294833920).

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

11148181390080 is an equidigital number, since it uses as much as digits as its factorization.

11148181390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 11148181390080 in words is "eleven trillion, one hundred forty-eight billion, one hundred eighty-one million, three hundred ninety thousand, eighty".