146760384717201 has 8 divisors (see below), whose sum is σ = 196168494286944. Its totient is φ = 97596265812800.

The previous prime is 146760384717187. The next prime is 146760384717203. The reversal of 146760384717201 is 102717483067641.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146760384717201 - 2³⁷ = 146622945763729 is a prime.

It is a super-2 number, since 2×146760384717201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146760384717203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60997664931 + ... + 60997667336.

It is an arithmetic number, because the mean of its divisors is an integer number (24521061785868).

Almost surely, 2^{146760384717201} is an apocalyptic number.

It is an amenable number.

146760384717201 is a deficient number, since it is larger than the sum of its proper divisors (49408109569743).

146760384717201 is a wasteful number, since it uses less digits than its factorization.

146760384717201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121995332671.

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 146760384717201 in words is "one hundred forty-six trillion, seven hundred sixty billion, three hundred eighty-four million, seven hundred seventeen thousand, two hundred one".