146406458016 has 864 divisors, whose sum is σ = 544394672640. Its totient is φ = 37730893824.

The previous prime is 146406457993. The next prime is 146406458041. The reversal of 146406458016 is 610854604641.

146406458016 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 0 + 64 + 580 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1509344880 + ... + 1509344976.

Almost surely, 2^146406458016 is an apocalyptic number.

146406458016 is a gapful number since it is divisible by the number (16) 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 146406458016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272197336320).

146406458016 is an abundant number, since it is smaller than the sum of its proper divisors (397988214624).

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

146406458016 is an frugal number, since it uses more digits than its factorization.

146406458016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 146406458016 in words is "one hundred forty-six billion, four hundred six million, four hundred fifty-eight thousand, sixteen".