46129238800 has 90 divisors (see below), whose sum is σ = 111544021502. Its totient is φ = 18332344320.

The previous prime is 46129238777. The next prime is 46129238807. The reversal of 46129238800 is 883292164.

It can be written as a sum of positive squares in 9 ways, for example, as 40083243264 + 6045995536 = 200208^2 + 77756^2 .

It is not an unprimeable number, because it can be changed into a prime (46129238807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59675214 + ... + 59675986.

Almost surely, 2^46129238800 is an apocalyptic number.

46129238800 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 46129238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55772010751).

46129238800 is an abundant number, since it is smaller than the sum of its proper divisors (65414782702).

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

46129238800 is an equidigital number, since it uses as much as digits as its factorization.

46129238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 46129238800 in words is "forty-six billion, one hundred twenty-nine million, two hundred thirty-eight thousand, eight hundred".