146846061900 has 216 divisors, whose sum is σ = 486814328000. Its totient is φ = 36921225600.

The previous prime is 146846061899. The next prime is 146846061911. The reversal of 146846061900 is 9160648641.

146846061900 is a `hidden beast` number, since 1 + 46 + 8 + 460 + 61 + 90 + 0 = 666.

It is a super-2 number, since 2×146846061900² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3587751 + ... + 3628449.

Almost surely, 2^146846061900 is an apocalyptic number.

146846061900 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 146846061900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243407164000).

146846061900 is an abundant number, since it is smaller than the sum of its proper divisors (339968266100).

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

146846061900 is a wasteful number, since it uses less digits than its factorization.

146846061900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40949 (or 40939 counting only the distinct ones).

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

The spelling of 146846061900 in words is "one hundred forty-six billion, eight hundred forty-six million, sixty-one thousand, nine hundred".