9007123187601 has 192 divisors, whose sum is σ = 16791511486464. Its totient is φ = 4517045568000.

The previous prime is 9007123187593. The next prime is 9007123187617. The reversal of 9007123187601 is 1067813217009.

9007123187601 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 1 + 2 + 31 + 8 + 7 + 601 = 666.

It is not a de Polignac number, because 9007123187601 - 2³ = 9007123187593 is a prime.

It is a super-3 number, since 3×9007123187601³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9007123189601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1965331156 + ... + 1965335738.

It is an arithmetic number, because the mean of its divisors is an integer number (87455788992).

Almost surely, 2^{9007123187601} is an apocalyptic number.

It is an amenable number.

9007123187601 is a deficient number, since it is larger than the sum of its proper divisors (7784388298863).

9007123187601 is a wasteful number, since it uses less digits than its factorization.

9007123187601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 9007123187601 in words is "nine trillion, seven billion, one hundred twenty-three million, one hundred eighty-seven thousand, six hundred one".