146689004160000 has 2200 divisors, whose sum is σ = 580541107579136. Its totient is φ = 36817182720000.

The previous prime is 146689004159993. The next prime is 146689004160071. The reversal of 146689004160000 is 61400986641.

146689004160000 is a `hidden beast` number, since 1 + 466 + 8 + 90 + 0 + 41 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 59460478767 + ... + 59460481233.

Almost surely, 2^{146689004160000} is an apocalyptic number.

146689004160000 is a gapful number since it is divisible by the number (10) 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 146689004160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290270553789568).

146689004160000 is an abundant number, since it is smaller than the sum of its proper divisors (433852103419136).

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

146689004160000 is an equidigital number, since it uses as much as digits as its factorization.

146689004160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 146689004160000 in words is "one hundred forty-six trillion, six hundred eighty-nine billion, four million, one hundred sixty thousand".