462120121021264 has 10 divisors (see below), whose sum is σ = 895357734478730. Its totient is φ = 231060060510624.

The previous prime is 462120121021183. The next prime is 462120121021301.

462120121021264 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 448033760908864 + 14086360112400 = 21166808^2 + 3753180^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14441253781899 + ... + 14441253781930.

It is an arithmetic number, because the mean of its divisors is an integer number (89535773447873).

Almost surely, 2^{462120121021264} is an apocalyptic number.

It is an amenable number.

462120121021264 is a deficient number, since it is larger than the sum of its proper divisors (433237613457466).

462120121021264 is a wasteful number, since it uses less digits than its factorization.

462120121021264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28882507563837 (or 28882507563831 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 462120121021264 in words is "four hundred sixty-two trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, two hundred sixty-four".