1188418613760 has 960 divisors, whose sum is σ = 5021184909312. Its totient is φ = 253572415488.

The previous prime is 1188418613749. The next prime is 1188418613761. The reversal of 1188418613760 is 673168148811.

1188418613760 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 4 + 18 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1188418613760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1188418613697 and 1188418613706.

It is not an unprimeable number, because it can be changed into a prime (1188418613761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348201814 + ... + 348205226.

Almost surely, 2^{1188418613760} is an apocalyptic number.

1188418613760 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 1188418613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510592454656).

1188418613760 is an abundant number, since it is smaller than the sum of its proper divisors (3832766295552).

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

1188418613760 is a wasteful number, since it uses less digits than its factorization.

1188418613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1188418613760 in words is "one trillion, one hundred eighty-eight billion, four hundred eighteen million, six hundred thirteen thousand, seven hundred sixty".