45164944 has 60 divisors (see below), whose sum is σ = 98704620. Its totient is φ = 19993600.

The previous prime is 45164941. The next prime is 45164947. The reversal of 45164944 is 44946154.

It is an interprime number because it is at equal distance from previous prime (45164941) and next prime (45164947).

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 40704400 = 2112^2 + 6380^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

Its product of digits (69120) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45164941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79092 + ... + 79660.

It is an arithmetic number, because the mean of its divisors is an integer number (1645077).

Almost surely, 2^45164944 is an apocalyptic number.

45164944 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 45164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49352310).

45164944 is an abundant number, since it is smaller than the sum of its proper divisors (53539676).

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

45164944 is a wasteful number, since it uses less digits than its factorization.

45164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 45164944 is about 6720.4868871236. The cubic root of 45164944 is about 356.1233844085.

It can be divided in two parts, 451 and 64944, that multiplied together give a square (29289744 = 5412²).

The spelling of 45164944 in words is "forty-five million, one hundred sixty-four thousand, nine hundred forty-four".