45848001600 has 252 divisors, whose sum is σ = 163463925040. Its totient is φ = 12187929600.

The previous prime is 45848001569. The next prime is 45848001601. The reversal of 45848001600 is 610084854.

45848001600 is a `hidden beast` number, since 4 + 5 + 8 + 48 + 0 + 0 + 1 + 600 = 666.

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 (45848001601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4761591 + ... + 4771209.

Almost surely, 2^45848001600 is an apocalyptic number.

45848001600 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 45848001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81731962520).

45848001600 is an abundant number, since it is smaller than the sum of its proper divisors (117615923440).

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

45848001600 is a wasteful number, since it uses less digits than its factorization.

45848001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 45848001600 in words is "forty-five billion, eight hundred forty-eight million, one thousand, six hundred".