4462421902848 has 720 divisors, whose sum is σ = 16175812869216. Its totient is φ = 1173850030080.

The previous prime is 4462421902847. The next prime is 4462421902849. The reversal of 4462421902848 is 8482091242644.

4462421902848 is a `hidden beast` number, since 4 + 4 + 624 + 2 + 1 + 9 + 0 + 2 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4462421902847) and next prime (4462421902849).

It is a super-2 number, since 2×4462421902848² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4462421902794 and 4462421902803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4462421902847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1270981413 + ... + 1270984923.

Almost surely, 2^{4462421902848} is an apocalyptic number.

4462421902848 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 4462421902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087906434608).

4462421902848 is an abundant number, since it is smaller than the sum of its proper divisors (11713390966368).

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

4462421902848 is a wasteful number, since it uses less digits than its factorization.

4462421902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 4462421902848 in words is "four trillion, four hundred sixty-two billion, four hundred twenty-one million, nine hundred two thousand, eight hundred forty-eight".