45777368 has 72 divisors (see below), whose sum is σ = 108273780. Its totient is φ = 18083520.

The previous prime is 45777349. The next prime is 45777371. The reversal of 45777368 is 86377754.

It is a super-3 number, since 3×45777368³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65903 + ... + 66593.

Almost surely, 2^45777368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45777368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54136890).

45777368 is an abundant number, since it is smaller than the sum of its proper divisors (62496412).

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

45777368 is a wasteful number, since it uses less digits than its factorization.

45777368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its digits is 987840, while the sum is 47.

The square root of 45777368 is about 6765.8974275406. The cubic root of 45777368 is about 357.7258077562.

The spelling of 45777368 in words is "forty-five million, seven hundred seventy-seven thousand, three hundred sixty-eight".