706144225117552 has 80 divisors (see below), whose sum is σ = 1507754260238688. Its totient is φ = 318313901767680.

The previous prime is 706144225117501. The next prime is 706144225117571. The reversal of 706144225117552 is 255711522441607.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 706144225117552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144465438 + ... + 149273410.

Almost surely, 2^{706144225117552} 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 706144225117552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753877130119344).

706144225117552 is an abundant number, since it is smaller than the sum of its proper divisors (801610035121136).

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

706144225117552 is a wasteful number, since it uses less digits than its factorization.

706144225117552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824458 (or 4824452 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 52.

The spelling of 706144225117552 in words is "seven hundred six trillion, one hundred forty-four billion, two hundred twenty-five million, one hundred seventeen thousand, five hundred fifty-two".