81343454400 has 1008 divisors, whose sum is σ = 326877078528. Its totient is φ = 19049472000.

The previous prime is 81343454399. The next prime is 81343454429. The reversal of 81343454400 is 445434318.

81343454400 is a `hidden beast` number, since 81 + 3 + 4 + 34 + 544 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620942335 + ... + 620942465.

It is an arithmetic number, because the mean of its divisors is an integer number (324282816).

Almost surely, 2^81343454400 is an apocalyptic number.

81343454400 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 81343454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163438539264).

81343454400 is an abundant number, since it is smaller than the sum of its proper divisors (245533624128).

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

81343454400 is a wasteful number, since it uses less digits than its factorization.

81343454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 81343454400 its reverse (445434318), we get a palindrome (81788888718).

The spelling of 81343454400 in words is "eighty-one billion, three hundred forty-three million, four hundred fifty-four thousand, four hundred".