45858748320 has 1152 divisors, whose sum is σ = 205407498240. Its totient is φ = 9351936000.

The previous prime is 45858748319. The next prime is 45858748333. The reversal of 45858748320 is 2384785854.

45858748320 is a `hidden beast` number, since 4 + 5 + 85 + 87 + 483 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 303700245 + ... + 303700395.

It is an arithmetic number, because the mean of its divisors is an integer number (178305120).

Almost surely, 2^45858748320 is an apocalyptic number.

45858748320 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 45858748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102703749120).

45858748320 is an abundant number, since it is smaller than the sum of its proper divisors (159548749920).

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

45858748320 is a wasteful number, since it uses less digits than its factorization.

45858748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 45858748320 in words is "forty-five billion, eight hundred fifty-eight million, seven hundred forty-eight thousand, three hundred twenty".