45636254388000 has 672 divisors, whose sum is σ = 168202380593520. Its totient is φ = 12163380940800.

The previous prime is 45636254387989. The next prime is 45636254388001. The reversal of 45636254388000 is 88345263654.

45636254388000 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 6 + 254 + 388 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 418645232784 + 45217609155216 = 647028^2 + 6724404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45636254388001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 9357441562 + ... + 9357446438.

Almost surely, 2^{45636254388000} is an apocalyptic number.

45636254388000 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 45636254388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84101190296760).

45636254388000 is an abundant number, since it is smaller than the sum of its proper divisors (122566126205520).

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

45636254388000 is an equidigital number, since it uses as much as digits as its factorization.

45636254388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 45636254388000 in words is "forty-five trillion, six hundred thirty-six billion, two hundred fifty-four million, three hundred eighty-eight thousand".