45777312 has 216 divisors, whose sum is σ = 159790176. Its totient is φ = 12628224.

The previous prime is 45777299. The next prime is 45777313. The reversal of 45777312 is 21377754.

45777312 is a `hidden beast` number, since 4 + 577 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (45777313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1578514 + ... + 1578542.

Almost surely, 2^45777312 is an apocalyptic number.

45777312 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 45777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79895088).

45777312 is an abundant number, since it is smaller than the sum of its proper divisors (114012864).

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

45777312 is an equidigital number, since it uses as much as digits as its factorization.

45777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 45777312 is about 6765.8932891378. The cubic root of 45777312 is about 357.7256618861.

The spelling of 45777312 in words is "forty-five million, seven hundred seventy-seven thousand, three hundred twelve".