11148641159040 has 4608 divisors, whose sum is σ = 55218330115200. Its totient is φ = 2109139845120.

The previous prime is 11148641158999. The next prime is 11148641159063. The reversal of 11148641159040 is 4095114684111.

11148641159040 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 8 + 6 + 4 + 11 + 590 + 40 = 666.

11148641159040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 575 ways as a sum of consecutive naturals, for example, 64443012394 + ... + 64443012566.

Almost surely, 2^{11148641159040} is an apocalyptic number.

11148641159040 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 11148641159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609165057600).

11148641159040 is an abundant number, since it is smaller than the sum of its proper divisors (44069688956160).

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

11148641159040 is a wasteful number, since it uses less digits than its factorization.

11148641159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11148641159040 in words is "eleven trillion, one hundred forty-eight billion, six hundred forty-one million, one hundred fifty-nine thousand, forty".