45674605344 has 96 divisors (see below), whose sum is σ = 120844918656. Its totient is φ = 15104839680.

The previous prime is 45674605303. The next prime is 45674605349. The reversal of 45674605344 is 44350647654.

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 = 45674605293 and 45674605302.

It is not an unprimeable number, because it can be changed into a prime (45674605349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405109 + ... + 6412235.

It is an arithmetic number, because the mean of its divisors is an integer number (1258801236).

Almost surely, 2^45674605344 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 45674605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60422459328).

45674605344 is an abundant number, since it is smaller than the sum of its proper divisors (75170313312).

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

45674605344 is a wasteful number, since it uses less digits than its factorization.

45674605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 45674605344 in words is "forty-five billion, six hundred seventy-four million, six hundred five thousand, three hundred forty-four".