45381864 has 64 divisors (see below), whose sum is σ = 124367040. Its totient is φ = 13685760.

The previous prime is 45381863. The next prime is 45381881. The reversal of 45381864 is 46818354.

45381864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45381864² = 4119027160228992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45381863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104592 + ... + 105024.

It is an arithmetic number, because the mean of its divisors is an integer number (1943235).

Almost surely, 2^45381864 is an apocalyptic number.

45381864 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 45381864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62183520).

45381864 is an abundant number, since it is smaller than the sum of its proper divisors (78985176).

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

45381864 is a wasteful number, since it uses less digits than its factorization.

45381864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 45381864 is about 6736.6062672536. The cubic root of 45381864 is about 356.6926086273.

The spelling of 45381864 in words is "forty-five million, three hundred eighty-one thousand, eight hundred sixty-four".