45064368 has 60 divisors (see below), whose sum is σ = 126606480. Its totient is φ = 14963328.

The previous prime is 45064367. The next prime is 45064373. The reversal of 45064368 is 86346054.

45064368 is a `hidden beast` number, since 4 + 5 + 0 + 643 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 6713²-1.

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

It is not an unprimeable number, because it can be changed into a prime (45064361) 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, 53293 + ... + 54131.

It is an arithmetic number, because the mean of its divisors is an integer number (2110108).

Almost surely, 2^45064368 is an apocalyptic number.

45064368 is a gapful number since it is divisible by the number (48) 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 45064368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303240).

45064368 is an abundant number, since it is smaller than the sum of its proper divisors (81542112).

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

45064368 is a wasteful number, since it uses less digits than its factorization.

45064368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45064368 is about 6712.9999255177. Note that the first 4 decimals coincide. The cubic root of 45064368 is about 355.8588423242.

The spelling of 45064368 in words is "forty-five million, sixty-four thousand, three hundred sixty-eight".