8117763371172 has 1152 divisors, whose sum is σ = 27981959040000. Its totient is φ = 2030461655040.

The previous prime is 8117763371171. The next prime is 8117763371183. The reversal of 8117763371172 is 2711733677118.

8117763371172 is a `hidden beast` number, since 81 + 1 + 77 + 63 + 371 + 1 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8117763371171) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11074710918 + ... + 11074711650.

It is an arithmetic number, because the mean of its divisors is an integer number (24289895000).

Almost surely, 2^{8117763371172} 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 8117763371172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990979520000).

8117763371172 is an abundant number, since it is smaller than the sum of its proper divisors (19864195668828).

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

8117763371172 is a wasteful number, since it uses less digits than its factorization.

8117763371172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 848 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The spelling of 8117763371172 in words is "eight trillion, one hundred seventeen billion, seven hundred sixty-three million, three hundred seventy-one thousand, one hundred seventy-two".