45352368 has 60 divisors (see below), whose sum is σ = 129643488. Its totient is φ = 14793600.

The previous prime is 45352361. The next prime is 45352369. The reversal of 45352368 is 86325354.

It is a happy number.

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 (45352361) 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, 3418 + ... + 10118.

Almost surely, 2^45352368 is an apocalyptic number.

45352368 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 45352368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64821744).

45352368 is an abundant number, since it is smaller than the sum of its proper divisors (84291120).

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

45352368 is a wasteful number, since it uses less digits than its factorization.

45352368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6753 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45352368 is about 6734.4166785253. The cubic root of 45352368 is about 356.6153142748.

It can be divided in two parts, 4535 and 2368, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 45352368 in words is "forty-five million, three hundred fifty-two thousand, three hundred sixty-eight".