451506034011461 has 48 divisors (see below), whose sum is σ = 538238218823424. Its totient is φ = 376215474096000.

The previous prime is 451506034011433. The next prime is 451506034011499. The reversal of 451506034011461 is 164110430605154.

It is not a de Polignac number, because 451506034011461 - 2³⁰ = 451504960269637 is a prime.

It is a super-2 number, since 2×451506034011461² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451506034011161) 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 47 ways as a sum of consecutive naturals, for example, 141472055 + ... + 144628331.

It is an arithmetic number, because the mean of its divisors is an integer number (11213296225488).

Almost surely, 2^{451506034011461} is an apocalyptic number.

It is an amenable number.

451506034011461 is a deficient number, since it is larger than the sum of its proper divisors (86732184811963).

451506034011461 is a wasteful number, since it uses less digits than its factorization.

451506034011461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156954 (or 3156943 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 451506034011461 in words is "four hundred fifty-one trillion, five hundred six billion, thirty-four million, eleven thousand, four hundred sixty-one".