80034522147216 has 800 divisors, whose sum is σ = 299614730041088. Its totient is φ = 20059855441920.

The previous prime is 80034522147197. The next prime is 80034522147241. The reversal of 80034522147216 is 61274122543008.

80034522147216 is a `hidden beast` number, since 8 + 0 + 0 + 34 + 522 + 14 + 72 + 16 = 666.

It is a super-3 number, since 3×80034522147216³ (a number of 43 digits) contains 333 as substring.

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, 187422906 + ... + 187849446.

Almost surely, 2^{80034522147216} is an apocalyptic number.

80034522147216 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 80034522147216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149807365020544).

80034522147216 is an abundant number, since it is smaller than the sum of its proper divisors (219580207893872).

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

80034522147216 is a wasteful number, since it uses less digits than its factorization.

80034522147216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426661 (or 426646 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 80034522147216 in words is "eighty trillion, thirty-four billion, five hundred twenty-two million, one hundred forty-seven thousand, two hundred sixteen".