11745451008000 has 2240 divisors, whose sum is σ = 47871204638400. Its totient is φ = 2853804441600.

The previous prime is 11745451007999. The next prime is 11745451008089. The reversal of 11745451008000 is 80015454711.

11745451008000 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 545 + 100 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45702143872 + ... + 45702144128.

Almost surely, 2^{11745451008000} is an apocalyptic number.

11745451008000 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 11745451008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935602319200).

11745451008000 is an abundant number, since it is smaller than the sum of its proper divisors (36125753630400).

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

11745451008000 is an equidigital number, since it uses as much as digits as its factorization.

11745451008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11745451008000 in words is "eleven trillion, seven hundred forty-five billion, four hundred fifty-one million, eight thousand".