81454464000 has 2112 divisors, whose sum is σ = 387336942720. Its totient is φ = 16721510400.

The previous prime is 81454463983. The next prime is 81454464019. The reversal of 81454464000 is 46445418.

It is a happy number.

81454464000 is a `hidden beast` number, since 8 + 1 + 4 + 5 + 4 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2201471982 + ... + 2201472018.

Almost surely, 2^81454464000 is an apocalyptic number.

81454464000 is a gapful number since it is divisible by the number (80) 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 81454464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193668471360).

81454464000 is an abundant number, since it is smaller than the sum of its proper divisors (305882478720).

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

81454464000 is a wasteful number, since it uses less digits than its factorization.

81454464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 81454464000 in words is "eighty-one billion, four hundred fifty-four million, four hundred sixty-four thousand".