45251568 has 120 divisors (see below), whose sum is σ = 135445200. Its totient is φ = 14463360.

The previous prime is 45251539. The next prime is 45251573. The reversal of 45251568 is 86515254.

45251568 is a `hidden beast` number, since 45 + 2 + 51 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415098 + ... + 415206.

It is an arithmetic number, because the mean of its divisors is an integer number (1128710).

Almost surely, 2^45251568 is an apocalyptic number.

45251568 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 45251568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67722600).

45251568 is an abundant number, since it is smaller than the sum of its proper divisors (90193632).

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

45251568 is a wasteful number, since it uses less digits than its factorization.

45251568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45251568 is about 6726.9285710493. The cubic root of 45251568 is about 356.3509143477.

The spelling of 45251568 in words is "forty-five million, two hundred fifty-one thousand, five hundred sixty-eight".