8411618621952 has 960 divisors, whose sum is σ = 31236827381760. Its totient is φ = 2119451443200.

The previous prime is 8411618621951. The next prime is 8411618621971. The reversal of 8411618621952 is 2591268161148.

8411618621952 is a `hidden beast` number, since 8 + 4 + 1 + 1 + 6 + 1 + 8 + 621 + 9 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (8411618621951) 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, 1026930177 + ... + 1026938367.

It is an arithmetic number, because the mean of its divisors is an integer number (32538361856).

Almost surely, 2^{8411618621952} 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 8411618621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618413690880).

8411618621952 is an abundant number, since it is smaller than the sum of its proper divisors (22825208759808).

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

8411618621952 is a wasteful number, since it uses less digits than its factorization.

8411618621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8326 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 8411618621952 in words is "eight trillion, four hundred eleven billion, six hundred eighteen million, six hundred twenty-one thousand, nine hundred fifty-two".