46631200000 has 432 divisors, whose sum is σ = 145242453888. Its totient is φ = 14515200000.

The previous prime is 46631199983. The next prime is 46631200019. The reversal of 46631200000 is 213664.

46631200000 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 (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61599622 + ... + 61600378.

It is an arithmetic number, because the mean of its divisors is an integer number (336209384).

Almost surely, 2^46631200000 is an apocalyptic number.

46631200000 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 46631200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72621226944).

46631200000 is an abundant number, since it is smaller than the sum of its proper divisors (98611253888).

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

46631200000 is an frugal number, since it uses more digits than its factorization.

46631200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 46631200000 its reverse (213664), we get a palindrome (46631413664).

The spelling of 46631200000 in words is "forty-six billion, six hundred thirty-one million, two hundred thousand".