4251646335552 has 448 divisors, whose sum is σ = 14675762823168. Its totient is φ = 1054052352000.

The previous prime is 4251646335533. The next prime is 4251646335619. The reversal of 4251646335552 is 2555336461524.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4251646335552² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4251646335495 and 4251646335504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33392652 + ... + 33519732.

Almost surely, 2^{4251646335552} is an apocalyptic number.

4251646335552 is a gapful number since it is divisible by the number (42) 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 4251646335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337881411584).

4251646335552 is an abundant number, since it is smaller than the sum of its proper divisors (10424116487616).

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

4251646335552 is a wasteful number, since it uses less digits than its factorization.

4251646335552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127218 (or 127208 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 51.

The spelling of 4251646335552 in words is "four trillion, two hundred fifty-one billion, six hundred forty-six million, three hundred thirty-five thousand, five hundred fifty-two".