80161961472 has 320 divisors, whose sum is σ = 251505777600. Its totient is φ = 25164840960.

The previous prime is 80161961441. The next prime is 80161961489. The reversal of 80161961472 is 27416916108.

80161961472 is a `hidden beast` number, since 8 + 0 + 16 + 19 + 614 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16434298 + ... + 16439174.

It is an arithmetic number, because the mean of its divisors is an integer number (785955555).

Almost surely, 2^80161961472 is an apocalyptic number.

80161961472 is a gapful number since it is divisible by the number (82) 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 80161961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125752888800).

80161961472 is an abundant number, since it is smaller than the sum of its proper divisors (171343816128).

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

80161961472 is a wasteful number, since it uses less digits than its factorization.

80161961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 80161961472 in words is "eighty billion, one hundred sixty-one million, nine hundred sixty-one thousand, four hundred seventy-two".