46689843200 has 576 divisors, whose sum is σ = 155600040960. Its totient is φ = 13418496000.

The previous prime is 46689843199. The next prime is 46689843203. The reversal of 46689843200 is 234898664.

It is a happy number.

46689843200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689843203) 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, 51250745 + ... + 51251655.

It is an arithmetic number, because the mean of its divisors is an integer number (270138960).

Almost surely, 2^46689843200 is an apocalyptic number.

46689843200 is a gapful number since it is divisible by the number (40) 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 46689843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77800020480).

46689843200 is an abundant number, since it is smaller than the sum of its proper divisors (108910197760).

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

46689843200 is a wasteful number, since it uses less digits than its factorization.

46689843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 46689843200 in words is "forty-six billion, six hundred eighty-nine million, eight hundred forty-three thousand, two hundred".