49293619200 has 936 divisors, whose sum is σ = 209994698368. Its totient is φ = 11227299840.

The previous prime is 49293619183. The next prime is 49293619201. The reversal of 49293619200 is 291639294.

It is a happy number.

49293619200 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 3 + 619 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49293619201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 174182259 + ... + 174182541.

Almost surely, 2^49293619200 is an apocalyptic number.

49293619200 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 49293619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104997349184).

49293619200 is an abundant number, since it is smaller than the sum of its proper divisors (160701079168).

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

49293619200 is an equidigital number, since it uses as much as digits as its factorization.

49293619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 49293619200 in words is "forty-nine billion, two hundred ninety-three million, six hundred nineteen thousand, two hundred".