45058540800 has 1728 divisors, whose sum is σ = 203875951104. Its totient is φ = 8493465600.

The previous prime is 45058540753. The next prime is 45058540847. The reversal of 45058540800 is 804585054.

It is an interprime number because it is at equal distance from previous prime (45058540753) and next prime (45058540847).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098988780 + ... + 1098988820.

It is an arithmetic number, because the mean of its divisors is an integer number (117983768).

Almost surely, 2^45058540800 is an apocalyptic number.

45058540800 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 45058540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101937975552).

45058540800 is an abundant number, since it is smaller than the sum of its proper divisors (158817410304).

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

45058540800 is a wasteful number, since it uses less digits than its factorization.

45058540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 45058540800 in words is "forty-five billion, fifty-eight million, five hundred forty thousand, eight hundred".