146565162051201 has 12 divisors (see below), whose sum is σ = 214083944570340. Its totient is φ = 96612241651200.

The previous prime is 146565162051181. The next prime is 146565162051247. The reversal of 146565162051201 is 102150261565641.

146565162051201 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 6 + 5 + 1 + 620 + 5 + 12 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69169578080625 + 77395583970576 = 8316825^2 + 8797476^2 .

It is not a de Polignac number, because 146565162051201 - 2²⁵ = 146565128496769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146565162055201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91488864400 + ... + 91488866001.

It is an arithmetic number, because the mean of its divisors is an integer number (17840328714195).

Almost surely, 2^{146565162051201} is an apocalyptic number.

It is an amenable number.

146565162051201 is a deficient number, since it is larger than the sum of its proper divisors (67518782519139).

146565162051201 is a wasteful number, since it uses less digits than its factorization.

146565162051201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182977730496 (or 182977730493 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 146565162051201 in words is "one hundred forty-six trillion, five hundred sixty-five billion, one hundred sixty-two million, fifty-one thousand, two hundred one".