205089146372964 has 96 divisors (see below), whose sum is σ = 562266452070400. Its totient is φ = 56954239316352.

The previous prime is 205089146372959. The next prime is 205089146372969. The reversal of 205089146372964 is 469273641980502.

It is an interprime number because it is at equal distance from previous prime (205089146372959) and next prime (205089146372969).

It is a junction number, because it is equal to n+sod(n) for n = 205089146372895 and 205089146372904.

It is not an unprimeable number, because it can be changed into a prime (205089146372969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31114264 + ... + 37125135.

It is a 1-persistent number, because it is pandigital, but 2⋅205089146372964 = 410178292745928 is not.

Almost surely, 2^{205089146372964} is an apocalyptic number.

It is an amenable number.

205089146372964 is an abundant number, since it is smaller than the sum of its proper divisors (357177305697436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205089146372964 is a wasteful number, since it uses less digits than its factorization.

205089146372964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68240417 (or 68240415 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 205089146372964 in words is "two hundred five trillion, eighty-nine billion, one hundred forty-six million, three hundred seventy-two thousand, nine hundred sixty-four".