50654761344 has 768 divisors, whose sum is σ = 177394613760. Its totient is φ = 14233190400.

The previous prime is 50654761301. The next prime is 50654761351. The reversal of 50654761344 is 44316745605.

50654761344 is a `hidden beast` number, since 5 + 0 + 6 + 547 + 61 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 50654761344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322641714 + ... + 322641870.

It is an arithmetic number, because the mean of its divisors is an integer number (230982570).

Almost surely, 2^50654761344 is an apocalyptic number.

50654761344 is a gapful number since it is divisible by the number (54) 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 50654761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88697306880).

50654761344 is an abundant number, since it is smaller than the sum of its proper divisors (126739852416).

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

50654761344 is a wasteful number, since it uses less digits than its factorization.

50654761344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 50654761344 in words is "fifty billion, six hundred fifty-four million, seven hundred sixty-one thousand, three hundred forty-four".