11471948332800 has 432 divisors, whose sum is σ = 38271194986752. Its totient is φ = 3026033049600.

The previous prime is 11471948332769. The next prime is 11471948332813. The reversal of 11471948332800 is 823384917411.

11471948332800 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 3×11471948332800³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493544960 + ... + 1493552640.

It is an arithmetic number, because the mean of its divisors is an integer number (88590729136).

Almost surely, 2^{11471948332800} is an apocalyptic number.

11471948332800 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 11471948332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135597493376).

11471948332800 is an abundant number, since it is smaller than the sum of its proper divisors (26799246653952).

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

11471948332800 is a wasteful number, since it uses less digits than its factorization.

11471948332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 11471948332800 in words is "eleven trillion, four hundred seventy-one billion, nine hundred forty-eight million, three hundred thirty-two thousand, eight hundred".