1642532352461 has 96 divisors (see below), whose sum is σ = 2320499833344. Its totient is φ = 1129186713600.

The previous prime is 1642532352361. The next prime is 1642532352469.

1642532352461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1642532352461 - 2¹⁸ = 1642532090317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642532352469) 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, 618189245 + ... + 618191901.

It is an arithmetic number, because the mean of its divisors is an integer number (24171873264).

Almost surely, 2^{1642532352461} is an apocalyptic number.

1642532352461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1642532352461 is a deficient number, since it is larger than the sum of its proper divisors (677967480883).

1642532352461 is a wasteful number, since it uses less digits than its factorization.

1642532352461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5152 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 44.

The spelling of 1642532352461 in words is "one trillion, six hundred forty-two billion, five hundred thirty-two million, three hundred fifty-two thousand, four hundred sixty-one".