49398463296 has 1008 divisors, whose sum is σ = 189213792768. Its totient is φ = 12192768000.

The previous prime is 49398463259. The next prime is 49398463297. The reversal of 49398463296 is 69236489394.

49398463296 is a `hidden beast` number, since 493 + 9 + 84 + 63 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49398463297) 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 143 ways as a sum of consecutive naturals, for example, 489093646 + ... + 489093746.

It is an arithmetic number, because the mean of its divisors is an integer number (187712096).

Almost surely, 2^49398463296 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 49398463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94606896384).

49398463296 is an abundant number, since it is smaller than the sum of its proper divisors (139815329472).

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

49398463296 is a wasteful number, since it uses less digits than its factorization.

49398463296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 49398463296 in words is "forty-nine billion, three hundred ninety-eight million, four hundred sixty-three thousand, two hundred ninety-six".