82454512140 has 1152 divisors, whose sum is σ = 369107601408. Its totient is φ = 14870200320.

The previous prime is 82454512109. The next prime is 82454512141. The reversal of 82454512140 is 4121545428.

82454512140 is a `hidden beast` number, since 82 + 4 + 54 + 512 + 14 + 0 = 666.

It is a super-3 number, since 3×82454512140³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82454512095 and 82454512104.

It is not an unprimeable number, because it can be changed into a prime (82454512141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82702122 + ... + 82703118.

It is an arithmetic number, because the mean of its divisors is an integer number (320405904).

Almost surely, 2^82454512140 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 82454512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184553800704).

82454512140 is an abundant number, since it is smaller than the sum of its proper divisors (286653089268).

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

82454512140 is a wasteful number, since it uses less digits than its factorization.

82454512140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 82454512140 in words is "eighty-two billion, four hundred fifty-four million, five hundred twelve thousand, one hundred forty".