145289717969067 has 96 divisors (see below), whose sum is σ = 253052171615040. Its totient is φ = 82139194368000.

The previous prime is 145289717969047. The next prime is 145289717969069. The reversal of 145289717969067 is 760969717982541.

145289717969067 is a `hidden beast` number, since 1 + 45 + 289 + 71 + 7 + 96 + 90 + 67 = 666.

It is not a de Polignac number, because 145289717969067 - 2⁶ = 145289717969003 is a prime.

It is a super-2 number, since 2×145289717969067² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145289717969069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384932703 + ... + 385309959.

It is an arithmetic number, because the mean of its divisors is an integer number (2635960120990).

Almost surely, 2^{145289717969067} is an apocalyptic number.

145289717969067 is a deficient number, since it is larger than the sum of its proper divisors (107762453645973).

145289717969067 is a wasteful number, since it uses less digits than its factorization.

145289717969067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380378 (or 380365 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 145289717969067 in words is "one hundred forty-five trillion, two hundred eighty-nine billion, seven hundred seventeen million, nine hundred sixty-nine thousand, sixty-seven".