1188169456320 has 1792 divisors, whose sum is σ = 5605924515840. Its totient is φ = 232190115840.

The previous prime is 1188169456301. The next prime is 1188169456351. The reversal of 1188169456320 is 236549618811.

It is a happy number.

1188169456320 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 169 + 456 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 916089912 + ... + 916091208.

Almost surely, 2^{1188169456320} is an apocalyptic number.

1188169456320 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 1188169456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802962257920).

1188169456320 is an abundant number, since it is smaller than the sum of its proper divisors (4417755059520).

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

1188169456320 is a wasteful number, since it uses less digits than its factorization.

1188169456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1188169456320 in words is "one trillion, one hundred eighty-eight billion, one hundred sixty-nine million, four hundred fifty-six thousand, three hundred twenty".