45160114120044 has 192 divisors, whose sum is σ = 132297673654272. Its totient is φ = 11647569312000.

The previous prime is 45160114120031. The next prime is 45160114120049. The reversal of 45160114120044 is 44002141106154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 45160114119987 and 45160114120014.

It is not an unprimeable number, because it can be changed into a prime (45160114120049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356699577 + ... + 356826159.

It is an arithmetic number, because the mean of its divisors is an integer number (689050383616).

Almost surely, 2^{45160114120044} is an apocalyptic number.

45160114120044 is a gapful number since it is divisible by the number (44) 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 45160114120044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66148836827136).

45160114120044 is an abundant number, since it is smaller than the sum of its proper divisors (87137559534228).

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

45160114120044 is a wasteful number, since it uses less digits than its factorization.

45160114120044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129316 (or 129314 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 45160114120044 its reverse (44002141106154), we get a palindrome (89162255226198).

The spelling of 45160114120044 in words is "forty-five trillion, one hundred sixty billion, one hundred fourteen million, one hundred twenty thousand, forty-four".