46661995200 has 336 divisors, whose sum is σ = 162023486976. Its totient is φ = 11732582400.

The previous prime is 46661995189. The next prime is 46661995229. The reversal of 46661995200 is 259916664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46661995200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7835424 + ... + 7841376.

Almost surely, 2^46661995200 is an apocalyptic number.

46661995200 is a gapful number since it is divisible by the number (40) 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 46661995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81011743488).

46661995200 is an abundant number, since it is smaller than the sum of its proper divisors (115361491776).

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

46661995200 is a wasteful number, since it uses less digits than its factorization.

46661995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 46661995200 in words is "forty-six billion, six hundred sixty-one million, nine hundred ninety-five thousand, two hundred".