45346444464354 has 128 divisors (see below), whose sum is σ = 101750951264256. Its totient is φ = 13353289344000.

The previous prime is 45346444464337. The next prime is 45346444464383.

45346444464354 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4981478967 + ... + 4981488069.

It is an arithmetic number, because the mean of its divisors is an integer number (794929306752).

Almost surely, 2^{45346444464354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45346444464354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50875475632128).

45346444464354 is an abundant number, since it is smaller than the sum of its proper divisors (56404506799902).

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

45346444464354 is a wasteful number, since it uses less digits than its factorization.

45346444464354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224.

The product of its digits is 530841600, while the sum is 60.

It can be divided in two parts, 4534644 and 4464354, that added together give a palindrome (8998998).

The spelling of 45346444464354 in words is "forty-five trillion, three hundred forty-six billion, four hundred forty-four million, four hundred sixty-four thousand, three hundred fifty-four".