1628668630134 has 576 divisors, whose sum is σ = 4797160243200. Its totient is φ = 389449202688.

The previous prime is 1628668630117. The next prime is 1628668630177. The reversal of 1628668630134 is 4310368668261.

1628668630134 is a `hidden beast` number, since 1 + 628 + 6 + 6 + 8 + 6 + 3 + 0 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1490089692 + ... + 1490090784.

It is an arithmetic number, because the mean of its divisors is an integer number (8328403200).

Almost surely, 2^{1628668630134} is an apocalyptic number.

1628668630134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628668630134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398580121600).

1628668630134 is an abundant number, since it is smaller than the sum of its proper divisors (3168491613066).

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

1628668630134 is a wasteful number, since it uses less digits than its factorization.

1628668630134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1628668630134 in words is "one trillion, six hundred twenty-eight billion, six hundred sixty-eight million, six hundred thirty thousand, one hundred thirty-four".