4126553457664 has 297 divisors, whose sum is σ = 9438035846421. Its totient is φ = 1801925959680.

The previous prime is 4126553457641. The next prime is 4126553457707. The reversal of 4126553457664 is 4667543556214.

The square root of 4126553457664 is 2031392.

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

It can be written as a sum of positive squares in only one way, i.e., 2163864536064 + 1962688921600 = 1471008^2 + 1400960^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4126553457599 and 4126553457608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20736449437 + ... + 20736449635.

Almost surely, 2^{4126553457664} is an apocalyptic number.

4126553457664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4126553457664 is the 2031392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126553457664

4126553457664 is an abundant number, since it is smaller than the sum of its proper divisors (5311482388757).

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

4126553457664 is an equidigital number, since it uses as much as digits as its factorization.

4126553457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 241 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 58.

The spelling of 4126553457664 in words is "four trillion, one hundred twenty-six billion, five hundred fifty-three million, four hundred fifty-seven thousand, six hundred sixty-four".