705451885512 has 384 divisors, whose sum is σ = 2125338808320. Its totient is φ = 194155315200.

The previous prime is 705451885493. The next prime is 705451885517. The reversal of 705451885512 is 215588154507.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (705451885517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231978712 + ... + 231981752.

It is an arithmetic number, because the mean of its divisors is an integer number (5534736480).

Almost surely, 2^705451885512 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 705451885512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062669404160).

705451885512 is an abundant number, since it is smaller than the sum of its proper divisors (1419886922808).

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

705451885512 is a wasteful number, since it uses less digits than its factorization.

705451885512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 51.

The spelling of 705451885512 in words is "seven hundred five billion, four hundred fifty-one million, eight hundred eighty-five thousand, five hundred twelve".