11668146003657 has 64 divisors (see below), whose sum is σ = 20321067110400. Its totient is φ = 6523496688960.

The previous prime is 11668146003643. The next prime is 11668146003667. The reversal of 11668146003657 is 75630064186611.

It is a happy number.

11668146003657 is a `hidden beast` number, since 1 + 16 + 6 + 8 + 14 + 600 + 3 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 11668146003657 - 2⁸ = 11668146003401 is a prime.

It is a super-2 number, since 2×11668146003657² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11668146003667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5139568 + ... + 7053470.

It is an arithmetic number, because the mean of its divisors is an integer number (317516673600).

Almost surely, 2^{11668146003657} is an apocalyptic number.

It is an amenable number.

11668146003657 is a deficient number, since it is larger than the sum of its proper divisors (8652921106743).

11668146003657 is a wasteful number, since it uses less digits than its factorization.

11668146003657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915515 (or 1915509 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11668146003657 in words is "eleven trillion, six hundred sixty-eight billion, one hundred forty-six million, three thousand, six hundred fifty-seven".