11497146041304 has 1920 divisors, whose sum is σ = 45243172339200. Its totient is φ = 2685265551360.

The previous prime is 11497146041263. The next prime is 11497146041351. The reversal of 11497146041304 is 40314064179411.

11497146041304 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 1 + 4 + 604 + 1 + 30 + 4 = 666.

11497146041304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11497146041304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12961832749 + ... + 12961833635.

It is an arithmetic number, because the mean of its divisors is an integer number (23564152260).

Almost surely, 2^{11497146041304} is an apocalyptic number.

11497146041304 is a gapful number since it is divisible by the number (14) 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 11497146041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621586169600).

11497146041304 is an abundant number, since it is smaller than the sum of its proper divisors (33746026297896).

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

11497146041304 is a wasteful number, since it uses less digits than its factorization.

11497146041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11497146041304 in words is "eleven trillion, four hundred ninety-seven billion, one hundred forty-six million, forty-one thousand, three hundred four".