81454032000 has 1024 divisors, whose sum is σ = 333846489600. Its totient is φ = 19353600000.

The previous prime is 81454031903. The next prime is 81454032001. The reversal of 81454032000 is 23045418.

81454032000 is a `hidden beast` number, since 8 + 1 + 454 + 0 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81454032001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289871860 + ... + 289872140.

Almost surely, 2^81454032000 is an apocalyptic number.

81454032000 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 81454032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923244800).

81454032000 is an abundant number, since it is smaller than the sum of its proper divisors (252392457600).

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

81454032000 is a wasteful number, since it uses less digits than its factorization.

81454032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 81454032000 its reverse (23045418), we get a palindrome (81477077418).

The spelling of 81454032000 in words is "eighty-one billion, four hundred fifty-four million, thirty-two thousand".