146816281480 has 64 divisors (see below), whose sum is σ = 371992020480. Its totient is φ = 51665548800.

The previous prime is 146816281427. The next prime is 146816281481. The reversal of 146816281480 is 84182618641.

146816281480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×146816281480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (146816281481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5368189 + ... + 5395468.

It is an arithmetic number, because the mean of its divisors is an integer number (5812375320).

Almost surely, 2^146816281480 is an apocalyptic number.

146816281480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146816281480 is an abundant number, since it is smaller than the sum of its proper divisors (225175739000).

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

146816281480 is a wasteful number, since it uses less digits than its factorization.

146816281480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763710 (or 10763706 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 146816281480 in words is "one hundred forty-six billion, eight hundred sixteen million, two hundred eighty-one thousand, four hundred eighty".