45384648354 has 64 divisors (see below), whose sum is σ = 101964096000. Its totient is φ = 14962147200.

The previous prime is 45384648343. The next prime is 45384648373.

45384648354 is a `hidden beast` number, since 4 + 53 + 8 + 464 + 83 + 54 = 666.

45384648354 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45384648354.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5662702 + ... + 5670710.

It is an arithmetic number, because the mean of its divisors is an integer number (1593189000).

Almost surely, 2^45384648354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45384648354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50982048000).

45384648354 is an abundant number, since it is smaller than the sum of its proper divisors (56579447646).

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

45384648354 is a wasteful number, since it uses less digits than its factorization.

45384648354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9154 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 45384648354 in words is "forty-five billion, three hundred eighty-four million, six hundred forty-eight thousand, three hundred fifty-four".