81490414500 has 864 divisors, whose sum is σ = 307045170432. Its totient is φ = 18817920000.

The previous prime is 81490414493. The next prime is 81490414501. The reversal of 81490414500 is 541409418.

81490414500 is a `hidden beast` number, since 8 + 149 + 0 + 4 + 1 + 4 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81490414501) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 338134380 + ... + 338134620.

Almost surely, 2^81490414500 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 81490414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153522585216).

81490414500 is an abundant number, since it is smaller than the sum of its proper divisors (225554755932).

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

81490414500 is a wasteful number, since it uses less digits than its factorization.

81490414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 81490414500 in words is "eighty-one billion, four hundred ninety million, four hundred fourteen thousand, five hundred".