405846612045 has 192 divisors, whose sum is σ = 837157601280. Its totient is φ = 177983308800.

The previous prime is 405846612043. The next prime is 405846612097. The reversal of 405846612045 is 540216648504.

It is a happy number.

405846612045 is a `hidden beast` number, since 4 + 0 + 584 + 6 + 6 + 1 + 20 + 45 = 666.

It is not a de Polignac number, because 405846612045 - 2¹ = 405846612043 is a prime.

It is a super-2 number, since 2×405846612045² (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405846612043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 992289801 + ... + 992290209.

It is an arithmetic number, because the mean of its divisors is an integer number (4360195840).

Almost surely, 2^405846612045 is an apocalyptic number.

405846612045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405846612045 is an abundant number, since it is smaller than the sum of its proper divisors (431310989235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405846612045 is a wasteful number, since it uses less digits than its factorization.

405846612045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 405846612045 in words is "four hundred five billion, eight hundred forty-six million, six hundred twelve thousand, forty-five".