49704192000 has 1152 divisors, whose sum is σ = 200906334720. Its totient is φ = 12209356800.

The previous prime is 49704191987. The next prime is 49704192029. The reversal of 49704192000 is 29140794.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057535977 + ... + 1057536023.

It is an arithmetic number, because the mean of its divisors is an integer number (174397860).

Almost surely, 2^49704192000 is an apocalyptic number.

49704192000 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 49704192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100453167360).

49704192000 is an abundant number, since it is smaller than the sum of its proper divisors (151202142720).

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

49704192000 is an equidigital number, since it uses as much as digits as its factorization.

49704192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 49704192000 in words is "forty-nine billion, seven hundred four million, one hundred ninety-two thousand".