45629453600 has 72 divisors (see below), whose sum is σ = 111479810148. Its totient is φ = 18237542400.

The previous prime is 45629453581. The next prime is 45629453609. The reversal of 45629453600 is 635492654.

45629453600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30294098704 + 15335354896 = 174052^2 + 123836^2 .

It is not an unprimeable number, because it can be changed into a prime (45629453609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035212 + ... + 1078388.

Almost surely, 2^45629453600 is an apocalyptic number.

45629453600 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 45629453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55739905074).

45629453600 is an abundant number, since it is smaller than the sum of its proper divisors (65850356548).

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

45629453600 is a wasteful number, since it uses less digits than its factorization.

45629453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44518 (or 44505 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 45629453600 in words is "forty-five billion, six hundred twenty-nine million, four hundred fifty-three thousand, six hundred".