629136502848 has 168 divisors, whose sum is σ = 2062214173760. Its totient is φ = 179640529920.

The previous prime is 629136502831. The next prime is 629136502853. The reversal of 629136502848 is 848205631926.

629136502848 is a `hidden beast` number, since 6 + 2 + 91 + 3 + 6 + 502 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×629136502848² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 629136502794 and 629136502803.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6487743 + ... + 6584001.

Almost surely, 2^629136502848 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 629136502848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031107086880).

629136502848 is an abundant number, since it is smaller than the sum of its proper divisors (1433077670912).

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

629136502848 is a wasteful number, since it uses less digits than its factorization.

629136502848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97905 (or 97892 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 629136502848 in words is "six hundred twenty-nine billion, one hundred thirty-six million, five hundred two thousand, eight hundred forty-eight".