461572612601441 has 24 divisors (see below), whose sum is σ = 512656177782504. Its totient is φ = 415226196000000.

The previous prime is 461572612601411. The next prime is 461572612601491. The reversal of 461572612601441 is 144106216275164.

It can be written as a sum of positive squares in 4 ways, for example, as 23767038771025 + 437805573830416 = 4875145^2 + 20923804^2 .

It is not a de Polignac number, because 461572612601441 - 2⁶ = 461572612601377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 461572612601441.

It is not an unprimeable number, because it can be changed into a prime (461572612601411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11524511 + ... + 32495531.

It is an arithmetic number, because the mean of its divisors is an integer number (21360674074271).

Almost surely, 2^{461572612601441} is an apocalyptic number.

It is an amenable number.

461572612601441 is a deficient number, since it is larger than the sum of its proper divisors (51083565181063).

461572612601441 is a wasteful number, since it uses less digits than its factorization.

461572612601441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972945 (or 20972934 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 461572612601441 in words is "four hundred sixty-one trillion, five hundred seventy-two billion, six hundred twelve million, six hundred one thousand, four hundred forty-one".