11754489403008 has 384 divisors, whose sum is σ = 38821418475840. Its totient is φ = 3381162393600.

The previous prime is 11754489403001. The next prime is 11754489403009. The reversal of 11754489403008 is 80030498445711.

11754489403008 is a `hidden beast` number, since 1 + 1 + 7 + 544 + 8 + 94 + 0 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11754489403008² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11754489403001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18917691 + ... + 19529157.

Almost surely, 2^{11754489403008} is an apocalyptic number.

11754489403008 is a gapful number since it is divisible by the number (18) 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 11754489403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410709237920).

11754489403008 is an abundant number, since it is smaller than the sum of its proper divisors (27066929072832).

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

11754489403008 is a wasteful number, since it uses less digits than its factorization.

11754489403008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611576 (or 611561 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 11754489403008 in words is "eleven trillion, seven hundred fifty-four billion, four hundred eighty-nine million, four hundred three thousand, eight".