80102846761146 has 192 divisors, whose sum is σ = 195790468857984. Its totient is φ = 23654200711680.

The previous prime is 80102846761129. The next prime is 80102846761151. The reversal of 80102846761146 is 64116764820108.

80102846761146 is a `hidden beast` number, since 8 + 0 + 10 + 2 + 8 + 4 + 6 + 7 + 611 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 80102846761092 and 80102846761101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445984216 + ... + 446163788.

It is an arithmetic number, because the mean of its divisors is an integer number (1019742025302).

Almost surely, 2^{80102846761146} is an apocalyptic number.

80102846761146 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 80102846761146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895234428992).

80102846761146 is an abundant number, since it is smaller than the sum of its proper divisors (115687622096838).

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

80102846761146 is a wasteful number, since it uses less digits than its factorization.

80102846761146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180090 (or 180065 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 80102846761146 in words is "eighty trillion, one hundred two billion, eight hundred forty-six million, seven hundred sixty-one thousand, one hundred forty-six".