11491506608472 has 768 divisors, whose sum is σ = 37614170880000. Its totient is φ = 3130266746880.

The previous prime is 11491506608471. The next prime is 11491506608489. The reversal of 11491506608472 is 27480660519411.

11491506608472 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 1 + 506 + 60 + 8 + 4 + 72 = 666.

11491506608472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11491506608471) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8860066128 + ... + 8860067424.

It is an arithmetic number, because the mean of its divisors is an integer number (48976785000).

Almost surely, 2^{11491506608472} is an apocalyptic number.

11491506608472 is a gapful number since it is divisible by the number (12) 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 11491506608472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807085440000).

11491506608472 is an abundant number, since it is smaller than the sum of its proper divisors (26122664271528).

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

11491506608472 is a wasteful number, since it uses less digits than its factorization.

11491506608472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 11491506608472 in words is "eleven trillion, four hundred ninety-one billion, five hundred six million, six hundred eight thousand, four hundred seventy-two".