45102101544400 has 30 divisors (see below), whose sum is σ = 108357798961382. Its totient is φ = 18040840617600.

The previous prime is 45102101544391. The next prime is 45102101544463. The reversal of 45102101544400 is 444510120154.

45102101544400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30804462144 + 45071297082256 = 175512^2 + 6713516^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56377626531 + ... + 56377627330.

Almost surely, 2^{45102101544400} is an apocalyptic number.

45102101544400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45102101544400 is an abundant number, since it is smaller than the sum of its proper divisors (63255697416982).

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

45102101544400 is a wasteful number, since it uses less digits than its factorization.

45102101544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112755253879 (or 112755253868 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 45102101544400 its reverse (444510120154), we get a palindrome (45546611664554).

The spelling of 45102101544400 in words is "forty-five trillion, one hundred two billion, one hundred one million, five hundred forty-four thousand, four hundred".