80633746047456 has 864 divisors, whose sum is σ = 274742412235200. Its totient is φ = 21971348029440.

The previous prime is 80633746047427. The next prime is 80633746047467. The reversal of 80633746047456 is 65474064733608.

80633746047456 is a `hidden beast` number, since 8 + 0 + 6 + 33 + 74 + 60 + 474 + 5 + 6 = 666.

It is a super-2 number, since 2×80633746047456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 80633746047393 and 80633746047402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52055354970 + ... + 52055356518.

It is an arithmetic number, because the mean of its divisors is an integer number (317988903050).

Almost surely, 2^{80633746047456} 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 80633746047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371206117600).

80633746047456 is an abundant number, since it is smaller than the sum of its proper divisors (194108666187744).

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

80633746047456 is a wasteful number, since it uses less digits than its factorization.

80633746047456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 80633746047456 in words is "eighty trillion, six hundred thirty-three billion, seven hundred forty-six million, forty-seven thousand, four hundred fifty-six".