8117150469120 has 2816 divisors, whose sum is σ = 39336105738240. Its totient is φ = 1535193907200.

The previous prime is 8117150469101. The next prime is 8117150469133. The reversal of 8117150469120 is 219640517118.

8117150469120 is a `hidden beast` number, since 8 + 1 + 1 + 71 + 504 + 69 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5609640237 + ... + 5609641683.

Almost surely, 2^{8117150469120} is an apocalyptic number.

8117150469120 is a gapful number since it is divisible by the number (80) 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 8117150469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668052869120).

8117150469120 is an abundant number, since it is smaller than the sum of its proper divisors (31218955269120).

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

8117150469120 is a wasteful number, since it uses less digits than its factorization.

8117150469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 8117150469120 in words is "eight trillion, one hundred seventeen billion, one hundred fifty million, four hundred sixty-nine thousand, one hundred twenty".