618461118405 has 72 divisors (see below), whose sum is σ = 1161636676200. Its totient is φ = 304254752256.

The previous prime is 618461118349. The next prime is 618461118433. The reversal of 618461118405 is 504811164816.

618461118405 is a `hidden beast` number, since 6 + 1 + 8 + 461 + 1 + 184 + 0 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 560535218721 + 57925899684 = 748689^2 + 240678^2 .

It is not a de Polignac number, because 618461118405 - 2²² = 618456924101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10839091 + ... + 10895999.

It is an arithmetic number, because the mean of its divisors is an integer number (16133842725).

Almost surely, 2^618461118405 is an apocalyptic number.

618461118405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

618461118405 is a deficient number, since it is larger than the sum of its proper divisors (543175557795).

618461118405 is a wasteful number, since it uses less digits than its factorization.

618461118405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58375 (or 58359 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 618461118405 in words is "six hundred eighteen billion, four hundred sixty-one million, one hundred eighteen thousand, four hundred five".