405148512312 has 128 divisors (see below), whose sum is σ = 1153268928000. Its totient is φ = 131709070080.

The previous prime is 405148512289. The next prime is 405148512317. The reversal of 405148512312 is 213215841504.

405148512312 is a `hidden beast` number, since 4 + 0 + 51 + 485 + 123 + 1 + 2 = 666.

405148512312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405148512317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32397853 + ... + 32410355.

It is an arithmetic number, because the mean of its divisors is an integer number (9009913500).

Almost surely, 2^405148512312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405148512312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576634464000).

405148512312 is an abundant number, since it is smaller than the sum of its proper divisors (748120415688).

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

405148512312 is a wasteful number, since it uses less digits than its factorization.

405148512312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16218 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 405148512312 in words is "four hundred five billion, one hundred forty-eight million, five hundred twelve thousand, three hundred twelve".