11453502004640 has 192 divisors, whose sum is σ = 27503194118400. Its totient is φ = 4506752262144.

The previous prime is 11453502004627. The next prime is 11453502004649. The reversal of 11453502004640 is 4640020535411.

It is a self number, because there is not a number n which added to its sum of digits gives 11453502004640.

It is not an unprimeable number, because it can be changed into a prime (11453502004649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793805051 + ... + 3793808069.

It is an arithmetic number, because the mean of its divisors is an integer number (143245802700).

Almost surely, 2^{11453502004640} is an apocalyptic number.

11453502004640 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 11453502004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751597059200).

11453502004640 is an abundant number, since it is smaller than the sum of its proper divisors (16049692113760).

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

11453502004640 is a wasteful number, since it uses less digits than its factorization.

11453502004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 11453502004640 in words is "eleven trillion, four hundred fifty-three billion, five hundred two million, four thousand, six hundred forty".