46891419848361 has 75 divisors (see below), whose sum is σ = 77288425920013. Its totient is φ = 28310985137160.

The previous prime is 46891419848341. The next prime is 46891419848363. The reversal of 46891419848361 is 16384891419864.

The square root of 46891419848361 is 6847731.

It is a perfect power (a square), and thus also a powerful number.

46891419848361 is a `hidden beast` number, since 4 + 6 + 89 + 1 + 4 + 1 + 9 + 8 + 483 + 61 = 666.

It is not a de Polignac number, because 46891419848361 - 2⁹ = 46891419847849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46891419848361.

It is not an unprimeable number, because it can be changed into a prime (46891419848363) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 178294371916 + ... + 178294372178.

Almost surely, 2^{46891419848361} is an apocalyptic number.

46891419848361 is the 6847731-st square number.

46891419848361 is the 3423866-th centered octagonal number.

It is an amenable number.

46891419848361 is a deficient number, since it is larger than the sum of its proper divisors (30397006071652).

46891419848361 is an frugal number, since it uses more digits than its factorization.

46891419848361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 277 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 46891419848361 in words is "forty-six trillion, eight hundred ninety-one billion, four hundred nineteen million, eight hundred forty-eight thousand, three hundred sixty-one".