164763505367461 has 64 divisors (see below), whose sum is σ = 223079882651136. Its totient is φ = 118494911715840.

The previous prime is 164763505367449. The next prime is 164763505367479.

164763505367461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164763505367461 - 2⁹ = 164763505366949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164763505367393 and 164763505367402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164763505367761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917644051 + ... + 917823583.

It is an arithmetic number, because the mean of its divisors is an integer number (3485623166424).

Almost surely, 2^{164763505367461} is an apocalyptic number.

164763505367461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164763505367461 is a deficient number, since it is larger than the sum of its proper divisors (58316377283675).

164763505367461 is a wasteful number, since it uses less digits than its factorization.

164763505367461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187163 (or 187141 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 64.

The spelling of 164763505367461 in words is "one hundred sixty-four trillion, seven hundred sixty-three billion, five hundred five million, three hundred sixty-seven thousand, four hundred sixty-one".