11667668603598 has 192 divisors, whose sum is σ = 30490596864000. Its totient is φ = 3150011192832.

The previous prime is 11667668603593. The next prime is 11667668603603. The reversal of 11667668603598 is 89530686676611.

11667668603598 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 6 + 6 + 8 + 603 + 5 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11667668603593) and next prime (11667668603603).

It is a super-2 number, since 2×11667668603598² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667668603593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1873117548 + ... + 1873123776.

It is an arithmetic number, because the mean of its divisors is an integer number (158805192000).

Almost surely, 2^{11667668603598} is an apocalyptic number.

11667668603598 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11667668603598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245298432000).

11667668603598 is an abundant number, since it is smaller than the sum of its proper divisors (18822928260402).

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

11667668603598 is a wasteful number, since it uses less digits than its factorization.

11667668603598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 11667668603598 in words is "eleven trillion, six hundred sixty-seven billion, six hundred sixty-eight million, six hundred three thousand, five hundred ninety-eight".