10146546630 has 384 divisors, whose sum is σ = 31755110400. Its totient is φ = 2220825600.

The previous prime is 10146546629. The next prime is 10146546647. The reversal of 10146546630 is 3664564101.

It is a happy number.

10146546630 is a `hidden beast` number, since 1 + 0 + 14 + 6 + 5 + 4 + 6 + 630 = 666.

It is a congruent number.

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, 42454051 + ... + 42454289.

It is an arithmetic number, because the mean of its divisors is an integer number (82695600).

Almost surely, 2^10146546630 is an apocalyptic number.

10146546630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10146546630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877555200).

10146546630 is an abundant number, since it is smaller than the sum of its proper divisors (21608563770).

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

10146546630 is a wasteful number, since it uses less digits than its factorization.

10146546630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10146546630 in words is "ten billion, one hundred forty-six million, five hundred forty-six thousand, six hundred thirty".