45816321600 has 420 divisors, whose sum is σ = 192471552064. Its totient is φ = 10472094720.

The previous prime is 45816321599. The next prime is 45816321601. The reversal of 45816321600 is 612361854.

It is a happy number.

45816321600 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 632 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45816321599) and next prime (45816321601).

It is a tau number, because it is divible by the number of its divisors (420).

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

It is not an unprimeable number, because it can be changed into a prime (45816321601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 881949 + ... + 932451.

Almost surely, 2^45816321600 is an apocalyptic number.

45816321600 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 45816321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776032).

45816321600 is an abundant number, since it is smaller than the sum of its proper divisors (146655230464).

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

45816321600 is a wasteful number, since it uses less digits than its factorization.

45816321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50544 (or 50520 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45816321600 in words is "forty-five billion, eight hundred sixteen million, three hundred twenty-one thousand, six hundred".