121763256345 has 32 divisors (see below), whose sum is σ = 219698893440. Its totient is φ = 63971138880.

The previous prime is 121763256337. The next prime is 121763256353. The reversal of 121763256345 is 543652367121.

121763256345 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 6 + 3 + 2 + 5 + 634 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (121763256337) and next prime (121763256353).

It is not a de Polignac number, because 121763256345 - 2³ = 121763256337 is a prime.

It is a super-3 number, since 3×121763256345³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 121763256345.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6721926 + ... + 6740015.

It is an arithmetic number, because the mean of its divisors is an integer number (6865590420).

Almost surely, 2^121763256345 is an apocalyptic number.

121763256345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121763256345 is a deficient number, since it is larger than the sum of its proper divisors (97935637095).

121763256345 is a wasteful number, since it uses less digits than its factorization.

121763256345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462022 (or 13462016 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 121763256345 in words is "one hundred twenty-one billion, seven hundred sixty-three million, two hundred fifty-six thousand, three hundred forty-five".