146609346816 has 135 divisors (see below), whose sum is σ = 437327014971. Its totient is φ = 48851403264.

The previous prime is 146609346739. The next prime is 146609346817. The reversal of 146609346816 is 618643906641.

The square root of 146609346816 is 382896.

It is a perfect power (a square), and thus also a powerful number.

146609346816 is a `hidden beast` number, since 14 + 6 + 609 + 3 + 4 + 6 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (146609346817) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 55135695 + ... + 55138353.

Almost surely, 2^146609346816 is an apocalyptic number.

146609346816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146609346816 is the 382896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146609346816

146609346816 is an abundant number, since it is smaller than the sum of its proper divisors (290717668155).

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

146609346816 is an frugal number, since it uses more digits than its factorization.

146609346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 146609346816 in words is "one hundred forty-six billion, six hundred nine million, three hundred forty-six thousand, eight hundred sixteen".