45413350344 has 96 divisors (see below), whose sum is σ = 124652236800. Its totient is φ = 14934067200.

The previous prime is 45413350309. The next prime is 45413350369. The reversal of 45413350344 is 44305331454.

45413350344 is a `hidden beast` number, since 4 + 541 + 33 + 50 + 34 + 4 = 666.

45413350344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45413350299 and 45413350308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9456744 + ... + 9461544.

It is an arithmetic number, because the mean of its divisors is an integer number (1298460800).

Almost surely, 2^45413350344 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 45413350344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62326118400).

45413350344 is an abundant number, since it is smaller than the sum of its proper divisors (79238886456).

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

45413350344 is a wasteful number, since it uses less digits than its factorization.

45413350344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 45413350344 its reverse (44305331454), we get a palindrome (89718681798).

The spelling of 45413350344 in words is "forty-five billion, four hundred thirteen million, three hundred fifty thousand, three hundred forty-four".