45502000144000 has 64 divisors (see below), whose sum is σ = 113129347897800. Its totient is φ = 18200800051200.

The previous prime is 45502000143997. The next prime is 45502000144019. The reversal of 45502000144000 is 44100020554.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5895922135104 + 39606078008896 = 2428152^2 + 6293336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 1421921505 + ... + 1421953504.

Almost surely, 2^{45502000144000} is an apocalyptic number.

45502000144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45502000144000 is an abundant number, since it is smaller than the sum of its proper divisors (67627347753800).

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

45502000144000 is an equidigital number, since it uses as much as digits as its factorization.

45502000144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843875038 (or 2843875016 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 45502000144000 its reverse (44100020554), we get a palindrome (45546100164554).

The spelling of 45502000144000 in words is "forty-five trillion, five hundred two billion, one hundred forty-four thousand".