49631097600 has 1296 divisors, whose sum is σ = 216990778368. Its totient is φ = 10988421120.

The previous prime is 49631097547. The next prime is 49631097601. The reversal of 49631097600 is 679013694.

49631097600 is a `hidden beast` number, since 4 + 9 + 6 + 31 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (49631097601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 511660752 + ... + 511660848.

Almost surely, 2^49631097600 is an apocalyptic number.

49631097600 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 49631097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108495389184).

49631097600 is an abundant number, since it is smaller than the sum of its proper divisors (167359680768).

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

49631097600 is an equidigital number, since it uses as much as digits as its factorization.

49631097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 49631097600 in words is "forty-nine billion, six hundred thirty-one million, ninety-seven thousand, six hundred".