1187030906208 has 288 divisors, whose sum is σ = 4195186841664. Its totient is φ = 310574186496.

The previous prime is 1187030906197. The next prime is 1187030906219. The reversal of 1187030906208 is 8026090307811.

1187030906208 is a `hidden beast` number, since 1 + 18 + 7 + 0 + 3 + 0 + 9 + 0 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1187030906197) and next prime (1187030906219).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800016 + ... + 1736112.

It is an arithmetic number, because the mean of its divisors is an integer number (14566620978).

Almost surely, 2^{1187030906208} is an apocalyptic number.

1187030906208 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 1187030906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097593420832).

1187030906208 is an abundant number, since it is smaller than the sum of its proper divisors (3008155935456).

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

1187030906208 is a wasteful number, since it uses less digits than its factorization.

1187030906208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936174 (or 936163 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1187030906208 in words is "one trillion, one hundred eighty-seven billion, thirty million, nine hundred six thousand, two hundred eight".