11164512454002 has 96 divisors (see below), whose sum is σ = 25690315689792. Its totient is φ = 3491982692352.

The previous prime is 11164512453979. The next prime is 11164512454009. The reversal of 11164512454002 is 20045421546111.

11164512454002 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 4 + 5 + 1 + 245 + 400 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11164512454009) 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, 1087412073 + ... + 1087422339.

It is an arithmetic number, because the mean of its divisors is an integer number (267607455102).

Almost surely, 2^{11164512454002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164512454002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845157844896).

11164512454002 is an abundant number, since it is smaller than the sum of its proper divisors (14525803235790).

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

11164512454002 is a wasteful number, since it uses less digits than its factorization.

11164512454002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20712 (or 20709 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11164512454002 in words is "eleven trillion, one hundred sixty-four billion, five hundred twelve million, four hundred fifty-four thousand, two".