50629946304 has 224 divisors, whose sum is σ = 162003719680. Its totient is φ = 13632012288.

The previous prime is 50629946303. The next prime is 50629946309. The reversal of 50629946304 is 40364992605.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×50629946304³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50629946303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4923312 + ... + 4933584.

Almost surely, 2^50629946304 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 50629946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81001859840).

50629946304 is an abundant number, since it is smaller than the sum of its proper divisors (111373773376).

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

50629946304 is a wasteful number, since it uses less digits than its factorization.

50629946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 50629946304 in words is "fifty billion, six hundred twenty-nine million, nine hundred forty-six thousand, three hundred four".