11385455219712 has 1056 divisors, whose sum is σ = 42431814297600. Its totient is φ = 2975258345472.

The previous prime is 11385455219639. The next prime is 11385455219819. The reversal of 11385455219712 is 21791255458311.

11385455219712 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 4 + 552 + 19 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 959739093 + ... + 959750955.

Almost surely, 2^{11385455219712} is an apocalyptic number.

11385455219712 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 11385455219712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215907148800).

11385455219712 is an abundant number, since it is smaller than the sum of its proper divisors (31046359077888).

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

11385455219712 is a wasteful number, since it uses less digits than its factorization.

11385455219712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11953 (or 11923 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 11385455219712 in words is "eleven trillion, three hundred eighty-five billion, four hundred fifty-five million, two hundred nineteen thousand, seven hundred twelve".