1186041408552 has 1152 divisors, whose sum is σ = 4588367212800. Its totient is φ = 276123893760.

The previous prime is 1186041408467. The next prime is 1186041408569. The reversal of 1186041408552 is 2558041406811.

1186041408552 is a `hidden beast` number, since 1 + 1 + 86 + 0 + 4 + 14 + 0 + 8 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1186041408498 and 1186041408507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12227230968 + ... + 12227231064.

It is an arithmetic number, because the mean of its divisors is an integer number (3982957650).

Almost surely, 2^{1186041408552} is an apocalyptic number.

1186041408552 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 1186041408552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294183606400).

1186041408552 is an abundant number, since it is smaller than the sum of its proper divisors (3402325804248).

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

1186041408552 is a wasteful number, since it uses less digits than its factorization.

1186041408552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 1186041408552 in words is "one trillion, one hundred eighty-six billion, forty-one million, four hundred eight thousand, five hundred fifty-two".