45060940800 has 396 divisors, whose sum is σ = 162180100836. Its totient is φ = 11953766400.

The previous prime is 45060940733. The next prime is 45060940811. The reversal of 45060940800 is 804906054.

45060940800 is a `hidden beast` number, since 4 + 5 + 0 + 609 + 40 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1423401984 + 43637538816 = 37728^2 + 208896^2 .

It is a super-2 number, since 2×45060940800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 59212420 + ... + 59213180.

Almost surely, 2^45060940800 is an apocalyptic number.

45060940800 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 45060940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81090050418).

45060940800 is an abundant number, since it is smaller than the sum of its proper divisors (117119160036).

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

45060940800 is a wasteful number, since it uses less digits than its factorization.

45060940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1028 counting only the distinct ones).

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

It can be divided in two parts, 450 and 60940800, that multiplied together give a square (27423360000 = 165600²).

The spelling of 45060940800 in words is "forty-five billion, sixty million, nine hundred forty thousand, eight hundred".