629090095104 has 507 divisors, whose sum is σ = 2004570545557. Its totient is φ = 197361598464.

The previous prime is 629090095099. The next prime is 629090095169. The reversal of 629090095104 is 401590090926.

The square root of 629090095104 is 793152.

It is a perfect power (a square), and thus also a powerful number.

629090095104 is a `hidden beast` number, since 629 + 0 + 9 + 0 + 0 + 9 + 5 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 489776025600 + 139314069504 = 699840^2 + 373248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 629090095104.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 37005299704 + ... + 37005299720.

Almost surely, 2^629090095104 is an apocalyptic number.

629090095104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

629090095104 is the 793152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629090095104

629090095104 is an abundant number, since it is smaller than the sum of its proper divisors (1375480450453).

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

629090095104 is an frugal number, since it uses more digits than its factorization.

629090095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 629090095104 in words is "six hundred twenty-nine billion, ninety million, ninety-five thousand, one hundred four".