45763146 has 96 divisors (see below), whose sum is σ = 121709952. Its totient is φ = 12228480.

The previous prime is 45763141. The next prime is 45763163. The reversal of 45763146 is 64136754.

It is a happy number.

45763146 is a `hidden beast` number, since 457 + 63 + 146 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45763146.

It is not an unprimeable number, because it can be changed into a prime (45763141) 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, 58816 + ... + 59588.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 2^45763146 is an apocalyptic number.

45763146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45763146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854976).

45763146 is an abundant number, since it is smaller than the sum of its proper divisors (75946806).

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

45763146 is a wasteful number, since it uses less digits than its factorization.

45763146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 825 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45763146 is about 6764.8463397183. The cubic root of 45763146 is about 357.6887581280.

The spelling of 45763146 in words is "forty-five million, seven hundred sixty-three thousand, one hundred forty-six".