2405345135112 has 320 divisors, whose sum is σ = 7160379325440. Its totient is φ = 753055833600.

The previous prime is 2405345135093. The next prime is 2405345135161. The reversal of 2405345135112 is 2115315435042.

2405345135112 is a `hidden beast` number, since 2 + 4 + 0 + 534 + 5 + 1 + 3 + 5 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312906933 + ... + 312914619.

It is an arithmetic number, because the mean of its divisors is an integer number (22376185392).

Almost surely, 2^{2405345135112} 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 2405345135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580189662720).

2405345135112 is an abundant number, since it is smaller than the sum of its proper divisors (4755034190328).

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

2405345135112 is a wasteful number, since it uses less digits than its factorization.

2405345135112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2405345135112 in words is "two trillion, four hundred five billion, three hundred forty-five million, one hundred thirty-five thousand, one hundred twelve".