46788144 has 80 divisors (see below), whose sum is σ = 131679072. Its totient is φ = 14229504.

The previous prime is 46788143. The next prime is 46788151. The reversal of 46788144 is 44188764.

It is a happy number.

46788144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46788096 and 46788105.

It is not an unprimeable number, because it can be changed into a prime (46788143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60142 + ... + 60914.

Almost surely, 2^46788144 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 46788144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839536).

46788144 is an abundant number, since it is smaller than the sum of its proper divisors (84890928).

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

46788144 is a wasteful number, since it uses less digits than its factorization.

46788144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 46788144 is about 6840.1859623844. The cubic root of 46788144 is about 360.3395561692.

The spelling of 46788144 in words is "forty-six million, seven hundred eighty-eight thousand, one hundred forty-four".