3126048920064 has 1920 divisors, whose sum is σ = 12011231232000. Its totient is φ = 807648952320.

The previous prime is 3126048920009. The next prime is 3126048920209. The reversal of 3126048920064 is 4600298406213.

3126048920064 is a `hidden beast` number, since 3 + 12 + 604 + 8 + 9 + 20 + 0 + 6 + 4 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 22489560507 + ... + 22489560645.

It is an arithmetic number, because the mean of its divisors is an integer number (6255849600).

Almost surely, 2^{3126048920064} is an apocalyptic number.

3126048920064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126048920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616000).

3126048920064 is an abundant number, since it is smaller than the sum of its proper divisors (8885182311936).

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

3126048920064 is an equidigital number, since it uses as much as digits as its factorization.

3126048920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 199 counting only the distinct ones).

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

The spelling of 3126048920064 in words is "three trillion, one hundred twenty-six billion, forty-eight million, nine hundred twenty thousand, sixty-four".