80946330463152 has 480 divisors, whose sum is σ = 292081605580800. Its totient is φ = 21009965137920.

The previous prime is 80946330463151. The next prime is 80946330463211. The reversal of 80946330463152 is 25136403364908.

80946330463152 is a `hidden beast` number, since 8 + 0 + 94 + 63 + 30 + 463 + 1 + 5 + 2 = 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 (80946330463151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515480233 + ... + 515637239.

It is an arithmetic number, because the mean of its divisors is an integer number (608503344960).

Almost surely, 2^{80946330463152} 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 80946330463152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146040802790400).

80946330463152 is an abundant number, since it is smaller than the sum of its proper divisors (211135275117648).

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

80946330463152 is a wasteful number, since it uses less digits than its factorization.

80946330463152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158462 (or 158439 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 80946330463152 in words is "eighty trillion, nine hundred forty-six billion, three hundred thirty million, four hundred sixty-three thousand, one hundred fifty-two".