146679468000 has 1536 divisors, whose sum is σ = 599152619520. Its totient is φ = 30965760000.

The previous prime is 146679467993. The next prime is 146679468011. The reversal of 146679468000 is 864976641.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2065907965 + ... + 2065908035.

It is an arithmetic number, because the mean of its divisors is an integer number (390073320).

Almost surely, 2^146679468000 is an apocalyptic number.

146679468000 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 146679468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299576309760).

146679468000 is an abundant number, since it is smaller than the sum of its proper divisors (452473151520).

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

146679468000 is a wasteful number, since it uses less digits than its factorization.

146679468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 146679468000 in words is "one hundred forty-six billion, six hundred seventy-nine million, four hundred sixty-eight thousand".