45201912 has 192 divisors, whose sum is σ = 147360000. Its totient is φ = 11515392.

The previous prime is 45201907. The next prime is 45201913. The reversal of 45201912 is 21910254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45201913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2379039 + ... + 2379057.

It is an arithmetic number, because the mean of its divisors is an integer number (767500).

Almost surely, 2^45201912 is an apocalyptic number.

45201912 is a gapful number since it is divisible by the number (42) 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 45201912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73680000).

45201912 is an abundant number, since it is smaller than the sum of its proper divisors (102158088).

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

45201912 is a wasteful number, since it uses less digits than its factorization.

45201912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 45201912 is about 6723.2367205090. The cubic root of 45201912 is about 356.2205215374.

The spelling of 45201912 in words is "forty-five million, two hundred one thousand, nine hundred twelve".