11619684223488 has 1200 divisors, whose sum is σ = 40997167263360. Its totient is φ = 3263561072640.

The previous prime is 11619684223481. The next prime is 11619684223489. The reversal of 11619684223488 is 88432248691611.

It is a happy number.

11619684223488 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 96 + 8 + 42 + 23 + 488 = 666.

It is a super-2 number, since 2×11619684223488² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11619684223481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4481172720 + ... + 4481175312.

Almost surely, 2^{11619684223488} is an apocalyptic number.

11619684223488 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 11619684223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498583631680).

11619684223488 is an abundant number, since it is smaller than the sum of its proper divisors (29377483039872).

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

11619684223488 is a wasteful number, since it uses less digits than its factorization.

11619684223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2675 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 11619684223488 in words is "eleven trillion, six hundred nineteen billion, six hundred eighty-four million, two hundred twenty-three thousand, four hundred eighty-eight".