45633610000 has 400 divisors, whose sum is σ = 133291433088. Its totient is φ = 14924800000.

The previous prime is 45633609947. The next prime is 45633610027. The reversal of 45633610000 is 1633654.

45633610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43009470 + ... + 43010530.

Almost surely, 2^45633610000 is an apocalyptic number.

45633610000 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 45633610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66645716544).

45633610000 is an abundant number, since it is smaller than the sum of its proper divisors (87657823088).

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

45633610000 is a wasteful number, since it uses less digits than its factorization.

45633610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 45633610000 in words is "forty-five billion, six hundred thirty-three million, six hundred ten thousand".