146850097680 has 960 divisors, whose sum is σ = 625441969152. Its totient is φ = 30325800960.

The previous prime is 146850097673. The next prime is 146850097729. The reversal of 146850097680 is 86790058641.

146850097680 is a `hidden beast` number, since 1 + 4 + 68 + 500 + 9 + 76 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92766169 + ... + 92767751.

Almost surely, 2^146850097680 is an apocalyptic number.

146850097680 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 146850097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312720984576).

146850097680 is an abundant number, since it is smaller than the sum of its proper divisors (478591871472).

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

146850097680 is a wasteful number, since it uses less digits than its factorization.

146850097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 146850097680 in words is "one hundred forty-six billion, eight hundred fifty million, ninety-seven thousand, six hundred eighty".