146714148074016 has 72 divisors (see below), whose sum is σ = 417219649806960. Its totient is φ = 48904564672896.

The previous prime is 146714148073981. The next prime is 146714148074041. The reversal of 146714148074016 is 610470841417641.

It is a happy number.

146714148074016 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 141 + 480 + 7 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130092331 + ... + 131215253.

It is an arithmetic number, because the mean of its divisors is an integer number (5794717358430).

Almost surely, 2^{146714148074016} is an apocalyptic number.

146714148074016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146714148074016 is an abundant number, since it is smaller than the sum of its proper divisors (270505501732944).

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

146714148074016 is a wasteful number, since it uses less digits than its factorization.

146714148074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576598 (or 1576587 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 146714148074016 in words is "one hundred forty-six trillion, seven hundred fourteen billion, one hundred forty-eight million, seventy-four thousand, sixteen".