45445400000000 has 1440 divisors, whose sum is σ = 153066296630016. Its totient is φ = 13017600000000.

The previous prime is 45445399999981. The next prime is 45445400000017. The reversal of 45445400000000 is 454454.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 200199999887 + ... + 200200000113.

Almost surely, 2^{45445400000000} is an apocalyptic number.

45445400000000 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 45445400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76533148315008).

45445400000000 is an abundant number, since it is smaller than the sum of its proper divisors (107620896630016).

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

45445400000000 is an frugal number, since it uses more digits than its factorization.

45445400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 45445400000000 its reverse (454454), we get a palindrome (45445400454454).

45445400000000 divided by its reverse (454454) gives a 8-th power (100000000 = 10⁸).

It can be divided in two parts, 454 and 45400000000, that multiplied together give a square (20611600000000 = 4540000²).

The spelling of 45445400000000 in words is "forty-five trillion, four hundred forty-five billion, four hundred million", and thus it is an aban number.