45737251099200 has 756 divisors, whose sum is σ = 169349065474420. Its totient is φ = 11699135078400.

The previous prime is 45737251099091. The next prime is 45737251099207. The reversal of 45737251099200 is 299015273754.

45737251099200 is a `hidden beast` number, since 4 + 5 + 7 + 37 + 2 + 510 + 9 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2720757878784 + 43016493220416 = 1649472^2 + 6558696^2 .

It is a super-2 number, since 2×45737251099200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45737251099207) 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 107 ways as a sum of consecutive naturals, for example, 2685836286 + ... + 2685853314.

Almost surely, 2^{45737251099200} is an apocalyptic number.

45737251099200 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 45737251099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84674532737210).

45737251099200 is an abundant number, since it is smaller than the sum of its proper divisors (123611814375220).

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

45737251099200 is a wasteful number, since it uses less digits than its factorization.

45737251099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 45737251099200 in words is "forty-five trillion, seven hundred thirty-seven billion, two hundred fifty-one million, ninety-nine thousand, two hundred".