45700809600 has 192 divisors, whose sum is σ = 152996658480. Its totient is φ = 11986944000.

The previous prime is 45700809593. The next prime is 45700809601. The reversal of 45700809600 is 690800754.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45700809601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546580 + ... + 624620.

Almost surely, 2^45700809600 is an apocalyptic number.

45700809600 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 45700809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76498329240).

45700809600 is an abundant number, since it is smaller than the sum of its proper divisors (107295848880).

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

45700809600 is a wasteful number, since it uses less digits than its factorization.

45700809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78129 (or 78112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 45700809600 in words is "forty-five billion, seven hundred million, eight hundred nine thousand, six hundred".