45606225090144 has 96 divisors (see below), whose sum is σ = 122970439914336. Its totient is φ = 14788979896320.

The previous prime is 45606225090119. The next prime is 45606225090199. The reversal of 45606225090144 is 44109052260654.

45606225090144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45606225090093 and 45606225090102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22696084 + ... + 24623660.

It is an arithmetic number, because the mean of its divisors is an integer number (1280942082441).

Almost surely, 2^{45606225090144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45606225090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61485219957168).

45606225090144 is an abundant number, since it is smaller than the sum of its proper divisors (77364214824192).

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

45606225090144 is a wasteful number, since it uses less digits than its factorization.

45606225090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934288 (or 1934280 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 45606225090144 in words is "forty-five trillion, six hundred six billion, two hundred twenty-five million, ninety thousand, one hundred forty-four".