81414624000 has 288 divisors, whose sum is σ = 271702738944. Its totient is φ = 21607526400.

The previous prime is 81414623963. The next prime is 81414624103. The reversal of 81414624000 is 42641418.

It is a super-2 number, since 2×81414624000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21406099 + ... + 21409901.

It is an arithmetic number, because the mean of its divisors is an integer number (943412288).

Almost surely, 2^81414624000 is an apocalyptic number.

81414624000 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 81414624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135851369472).

81414624000 is an abundant number, since it is smaller than the sum of its proper divisors (190288114944).

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

81414624000 is a wasteful number, since it uses less digits than its factorization.

81414624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 81414624000 in words is "eighty-one billion, four hundred fourteen million, six hundred twenty-four thousand".