46661632000 has 184 divisors, whose sum is σ = 117776042280. Its totient is φ = 18454937600.

The previous prime is 46661631941. The next prime is 46661632091. The reversal of 46661632000 is 23616664.

It can be written as a sum of positive squares in 4 ways, for example, as 6379536384 + 40282095616 = 79872^2 + 200704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524287956 + ... + 524288044.

Almost surely, 2^46661632000 is an apocalyptic number.

46661632000 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 46661632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58888021140).

46661632000 is an abundant number, since it is smaller than the sum of its proper divisors (71114410280).

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

46661632000 is an frugal number, since it uses more digits than its factorization.

46661632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 46661632000 in words is "forty-six billion, six hundred sixty-one million, six hundred thirty-two thousand".