11074146048 has 432 divisors, whose sum is σ = 39028953600. Its totient is φ = 2949488640.

The previous prime is 11074146037. The next prime is 11074146049. The reversal of 11074146048 is 84064147011.

11074146048 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 41 + 4 + 604 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11074146049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21756418 + ... + 21756926.

It is an arithmetic number, because the mean of its divisors is an integer number (90344800).

Almost surely, 2^11074146048 is an apocalyptic number.

11074146048 is a gapful number since it is divisible by the number (18) 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 11074146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514476800).

11074146048 is an abundant number, since it is smaller than the sum of its proper divisors (27954807552).

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

11074146048 is a wasteful number, since it uses less digits than its factorization.

11074146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11074146048 in words is "eleven billion, seventy-four million, one hundred forty-six thousand, forty-eight".