629146230048 has 288 divisors, whose sum is σ = 2121984184320. Its totient is φ = 179626533120.

The previous prime is 629146230019. The next prime is 629146230059. The reversal of 629146230048 is 840032641926.

629146230048 is a `hidden beast` number, since 6 + 2 + 9 + 14 + 623 + 0 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×629146230048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 629146229985 and 629146230012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95742603 + ... + 95749173.

It is an arithmetic number, because the mean of its divisors is an integer number (7368000640).

Almost surely, 2^629146230048 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 629146230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060992092160).

629146230048 is an abundant number, since it is smaller than the sum of its proper divisors (1492837954272).

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

629146230048 is a wasteful number, since it uses less digits than its factorization.

629146230048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 629146230048 in words is "six hundred twenty-nine billion, one hundred forty-six million, two hundred thirty thousand, forty-eight".