11748508489872 has 480 divisors, whose sum is σ = 41690411642880. Its totient is φ = 2999891220480.

The previous prime is 11748508489829. The next prime is 11748508489901. The reversal of 11748508489872 is 27898480584711.

11748508489872 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 8 + 508 + 48 + 9 + 8 + 72 = 666.

11748508489872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11748508489872³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11748508489872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248469529 + ... + 248516807.

It is an arithmetic number, because the mean of its divisors is an integer number (86855024256).

Almost surely, 2^{11748508489872} is an apocalyptic number.

11748508489872 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 11748508489872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845205821440).

11748508489872 is an abundant number, since it is smaller than the sum of its proper divisors (29941903153008).

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

11748508489872 is a wasteful number, since it uses less digits than its factorization.

11748508489872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47691 (or 47682 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 72.

The spelling of 11748508489872 in words is "eleven trillion, seven hundred forty-eight billion, five hundred eight million, four hundred eighty-nine thousand, eight hundred seventy-two".