4648669363520 has 224 divisors, whose sum is σ = 13810816013568. Its totient is φ = 1451072765952.

The previous prime is 4648669363517. The next prime is 4648669363523. The reversal of 4648669363520 is 253639668464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4648669363517) and next prime (4648669363523).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4648669363520² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648669363523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032347 + ... + 3219173.

It is an arithmetic number, because the mean of its divisors is an integer number (61655428632).

Almost surely, 2^{4648669363520} is an apocalyptic number.

4648669363520 is a gapful number since it is divisible by the number (40) 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 4648669363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905408006784).

4648669363520 is an abundant number, since it is smaller than the sum of its proper divisors (9162146650048).

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

4648669363520 is a wasteful number, since it uses less digits than its factorization.

4648669363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186937 (or 2186927 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 62.

The spelling of 4648669363520 in words is "four trillion, six hundred forty-eight billion, six hundred sixty-nine million, three hundred sixty-three thousand, five hundred twenty".