151266450221217 has 24 divisors (see below), whose sum is σ = 231386022392616. Its totient is φ = 94896966053376.

The previous prime is 151266450221189. The next prime is 151266450221269. The reversal of 151266450221217 is 712122054662151.

151266450221217 is a `hidden beast` number, since 1 + 5 + 12 + 6 + 6 + 4 + 502 + 2 + 121 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11821432409361 + 139445017811856 = 3438231^2 + 11808684^2 .

It is not a de Polignac number, because 151266450221217 - 2¹² = 151266450217121 is a prime.

It is a super-2 number, since 2×151266450221217² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151266450221017) 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 23 ways as a sum of consecutive naturals, for example, 78821878 + ... + 80718159.

It is an arithmetic number, because the mean of its divisors is an integer number (9641084266359).

Almost surely, 2^{151266450221217} is an apocalyptic number.

151266450221217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

151266450221217 is a deficient number, since it is larger than the sum of its proper divisors (80119572171399).

151266450221217 is a wasteful number, since it uses less digits than its factorization.

151266450221217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159546257 (or 159546254 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 151266450221217 in words is "one hundred fifty-one trillion, two hundred sixty-six billion, four hundred fifty million, two hundred twenty-one thousand, two hundred seventeen".