11334047503104 has 720 divisors, whose sum is σ = 37388740730880. Its totient is φ = 3402498908160.

The previous prime is 11334047503091. The next prime is 11334047503147. The reversal of 11334047503104 is 40130574043311.

11334047503104 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 0 + 47 + 503 + 104 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 547026057 + ... + 547046775.

Almost surely, 2^{11334047503104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334047503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694370365440).

11334047503104 is an abundant number, since it is smaller than the sum of its proper divisors (26054693227776).

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

11334047503104 is a wasteful number, since it uses less digits than its factorization.

11334047503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20838 (or 20815 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 11334047503104 in words is "eleven trillion, three hundred thirty-four billion, forty-seven million, five hundred three thousand, one hundred four".