46028813107200 has 3456 divisors, whose sum is σ = 207828648115200. Its totient is φ = 8878502707200.

The previous prime is 46028813107139. The next prime is 46028813107223. The reversal of 46028813107200 is 270131882064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630531686364 + ... + 630531686436.

It is an arithmetic number, because the mean of its divisors is an integer number (60135604200).

Almost surely, 2^{46028813107200} is an apocalyptic number.

46028813107200 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 46028813107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103914324057600).

46028813107200 is an abundant number, since it is smaller than the sum of its proper divisors (161799835008000).

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

46028813107200 is an equidigital number, since it uses as much as digits as its factorization.

46028813107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

Adding to 46028813107200 its reverse (270131882064), we get a palindrome (46298944989264).

The spelling of 46028813107200 in words is "forty-six trillion, twenty-eight billion, eight hundred thirteen million, one hundred seven thousand, two hundred".