4463428642848 has 864 divisors, whose sum is σ = 15953451171840. Its totient is φ = 1156240189440.

The previous prime is 4463428642823. The next prime is 4463428642853. The reversal of 4463428642848 is 8482468243644.

4463428642848 is a `hidden beast` number, since 4 + 4 + 6 + 342 + 8 + 6 + 4 + 284 + 8 = 666.

It is a super-2 number, since 2×4463428642848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4091134783 + ... + 4091135873.

It is an arithmetic number, because the mean of its divisors is an integer number (18464642560).

Almost surely, 2^{4463428642848} is an apocalyptic number.

4463428642848 is a gapful number since it is divisible by the number (48) 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 4463428642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976725585920).

4463428642848 is an abundant number, since it is smaller than the sum of its proper divisors (11490022528992).

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

4463428642848 is a wasteful number, since it uses less digits than its factorization.

4463428642848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1278 counting only the distinct ones).

The product of its digits is 226492416, while the sum is 63.

The spelling of 4463428642848 in words is "four trillion, four hundred sixty-three billion, four hundred twenty-eight million, six hundred forty-two thousand, eight hundred forty-eight".