46729221789100 has 72 divisors (see below), whose sum is σ = 107396473060800. Its totient is φ = 17587390878720.

The previous prime is 46729221789097. The next prime is 46729221789149. The reversal of 46729221789100 is 198712292764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2513101 + ... + 9988699.

It is an arithmetic number, because the mean of its divisors is an integer number (1491617681400).

Almost surely, 2^{46729221789100} 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 46729221789100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53698236530400).

46729221789100 is an abundant number, since it is smaller than the sum of its proper divisors (60667251271700).

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

46729221789100 is a wasteful number, since it uses less digits than its factorization.

46729221789100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479307 (or 7479300 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 46729221789100 in words is "forty-six trillion, seven hundred twenty-nine billion, two hundred twenty-one million, seven hundred eighty-nine thousand, one hundred".