436867406313216 has 144 divisors (see below), whose sum is σ = 1174666732940064. Its totient is φ = 144130559311872.

The previous prime is 436867406313181. The next prime is 436867406313251. The reversal of 436867406313216 is 612313604768634.

It is an interprime number because it is at equal distance from previous prime (436867406313181) and next prime (436867406313251).

It is a self number, because there is not a number n which added to its sum of digits gives 436867406313216.

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, 29297406 + ... + 41618178.

Almost surely, 2^{436867406313216} 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 436867406313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587333366470032).

436867406313216 is an abundant number, since it is smaller than the sum of its proper divisors (737799326626848).

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

436867406313216 is a wasteful number, since it uses less digits than its factorization.

436867406313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321266 (or 12321252 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 436867406313216 in words is "four hundred thirty-six trillion, eight hundred sixty-seven billion, four hundred six million, three hundred thirteen thousand, two hundred sixteen".