11946181459968 has 884 divisors, whose sum is σ = 41793875772400. Its totient is φ = 3413194702848.

The previous prime is 11946181459963. The next prime is 11946181460021. The reversal of 11946181459968 is 86995418164911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11946181459968 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 6 + 1 + 81 + 459 + 96 + 8 = 666.

It is a super-2 number, since 2×11946181459968² (a number of 27 digits) contains 22 as substring.

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

Its product of digits (134369280) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 11946181459896 and 11946181459905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946181459963) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 1706597351421 + ... + 1706597351427.

Almost surely, 2^{11946181459968} is an apocalyptic number.

11946181459968 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 11946181459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896937886200).

11946181459968 is an abundant number, since it is smaller than the sum of its proper divisors (29847694312432).

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

11946181459968 is an frugal number, since it uses more digits than its factorization.

11946181459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 12 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 72.

The spelling of 11946181459968 in words is "eleven trillion, nine hundred forty-six billion, one hundred eighty-one million, four hundred fifty-nine thousand, nine hundred sixty-eight".