626406442126452 has 192 divisors, whose sum is σ = 1781982279221760. Its totient is φ = 189099339706368.

The previous prime is 626406442126447. The next prime is 626406442126489. The reversal of 626406442126452 is 254621244604626.

626406442126452 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 0 + 64 + 4 + 2 + 126 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4483774033 + ... + 4483913735.

It is an arithmetic number, because the mean of its divisors is an integer number (9281157704280).

Almost surely, 2^{626406442126452} 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 626406442126452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890991139610880).

626406442126452 is an abundant number, since it is smaller than the sum of its proper divisors (1155575837095308).

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

626406442126452 is a wasteful number, since it uses less digits than its factorization.

626406442126452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200039 (or 200031 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 626406442126452 in words is "six hundred twenty-six trillion, four hundred six billion, four hundred forty-two million, one hundred twenty-six thousand, four hundred fifty-two".