345884781312 has 432 divisors, whose sum is σ = 1192650453120. Its totient is φ = 98590722048.

The previous prime is 345884781311. The next prime is 345884781323. The reversal of 345884781312 is 213187488543.

345884781312 is a `hidden beast` number, since 3 + 4 + 588 + 47 + 8 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (345884781311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185261403 + ... + 185263269.

Almost surely, 2^345884781312 is an apocalyptic number.

345884781312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345884781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596325226560).

345884781312 is an abundant number, since it is smaller than the sum of its proper divisors (846765671808).

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

345884781312 is a wasteful number, since it uses less digits than its factorization.

345884781312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2426 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 345884781312 in words is "three hundred forty-five billion, eight hundred eighty-four million, seven hundred eighty-one thousand, three hundred twelve".