45506237040 has 240 divisors, whose sum is σ = 166917325536. Its totient is φ = 11018649600.

The previous prime is 45506237039. The next prime is 45506237047. The reversal of 45506237040 is 4073260554.

45506237040 is a `hidden beast` number, since 4 + 550 + 62 + 3 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45506236986 and 45506237004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506237047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7734900 + ... + 7740780.

Almost surely, 2^45506237040 is an apocalyptic number.

45506237040 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 45506237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83458662768).

45506237040 is an abundant number, since it is smaller than the sum of its proper divisors (121411088496).

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

45506237040 is a wasteful number, since it uses less digits than its factorization.

45506237040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 45506237040 its reverse (4073260554), we get a palindrome (49579497594).

The spelling of 45506237040 in words is "forty-five billion, five hundred six million, two hundred thirty-seven thousand, forty".