8151617212416 has 2080 divisors, whose sum is σ = 29200508726400. Its totient is φ = 2247370997760.

The previous prime is 8151617212379. The next prime is 8151617212439. The reversal of 8151617212416 is 6142127161518.

It is a happy number.

8151617212416 is a `hidden beast` number, since 8 + 1 + 5 + 1 + 6 + 17 + 212 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133633069026 + ... + 133633069086.

Almost surely, 2^{8151617212416} is an apocalyptic number.

8151617212416 is a gapful number since it is divisible by the number (86) 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 8151617212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600254363200).

8151617212416 is an abundant number, since it is smaller than the sum of its proper divisors (21048891513984).

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

8151617212416 is a wasteful number, since it uses less digits than its factorization.

8151617212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 8151617212416 in words is "eight trillion, one hundred fifty-one billion, six hundred seventeen million, two hundred twelve thousand, four hundred sixteen".