45600351840 has 192 divisors, whose sum is σ = 161248086720. Its totient is φ = 12034621440.

The previous prime is 45600351809. The next prime is 45600351847. The reversal of 45600351840 is 4815300654.

It is a happy number.

45600351840 is a `hidden beast` number, since 4 + 5 + 600 + 3 + 5 + 1 + 8 + 40 = 666.

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 = 45600351795 and 45600351804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45600351847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364630 + ... + 473450.

It is an arithmetic number, because the mean of its divisors is an integer number (839833785).

Almost surely, 2^45600351840 is an apocalyptic number.

45600351840 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 45600351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80624043360).

45600351840 is an abundant number, since it is smaller than the sum of its proper divisors (115647734880).

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

45600351840 is a wasteful number, since it uses less digits than its factorization.

45600351840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108942 (or 108928 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45600351840 in words is "forty-five billion, six hundred million, three hundred fifty-one thousand, eight hundred forty".