49346348256 has 768 divisors, whose sum is σ = 169610112000. Its totient is φ = 14028152832.

The previous prime is 49346348203. The next prime is 49346348257. The reversal of 49346348256 is 65284364394.

49346348256 is a `hidden beast` number, since 4 + 9 + 3 + 46 + 348 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49346348257) 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 127 ways as a sum of consecutive naturals, for example, 836378755 + ... + 836378813.

It is an arithmetic number, because the mean of its divisors is an integer number (220846500).

Almost surely, 2^49346348256 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 49346348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84805056000).

49346348256 is an abundant number, since it is smaller than the sum of its proper divisors (120263763744).

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

49346348256 is a wasteful number, since it uses less digits than its factorization.

49346348256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 49346348256 in words is "forty-nine billion, three hundred forty-six million, three hundred forty-eight thousand, two hundred fifty-six".