146680814068008 has 128 divisors (see below), whose sum is σ = 404668483200000. Its totient is φ = 43934631825920.

The previous prime is 146680814067967. The next prime is 146680814068021. The reversal of 146680814068008 is 800860418086641.

It is a super-2 number, since 2×146680814068008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69423691 + ... + 71505317.

It is an arithmetic number, because the mean of its divisors is an integer number (3161472525000).

Almost surely, 2^{146680814068008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146680814068008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202334241600000).

146680814068008 is an abundant number, since it is smaller than the sum of its proper divisors (257987669131992).

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

146680814068008 is a wasteful number, since it uses less digits than its factorization.

146680814068008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084735 (or 2084731 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 146680814068008 in words is "one hundred forty-six trillion, six hundred eighty billion, eight hundred fourteen million, sixty-eight thousand, eight".