4869434389248 has 576 divisors, whose sum is σ = 17025512716800. Its totient is φ = 1353360752640.

The previous prime is 4869434389223. The next prime is 4869434389273. The reversal of 4869434389248 is 8429834349684.

4869434389248 is a `hidden beast` number, since 4 + 8 + 69 + 4 + 3 + 438 + 92 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (4869434389223) and next prime (4869434389273).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×4869434389248⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 155165623 + ... + 155197001.

It is an arithmetic number, because the mean of its divisors is an integer number (29558181800).

Almost surely, 2^{4869434389248} is an apocalyptic number.

4869434389248 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 4869434389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512756358400).

4869434389248 is an abundant number, since it is smaller than the sum of its proper divisors (12156078327552).

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

4869434389248 is a wasteful number, since it uses less digits than its factorization.

4869434389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31585 (or 31565 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 4869434389248 in words is "four trillion, eight hundred sixty-nine billion, four hundred thirty-four million, three hundred eighty-nine thousand, two hundred forty-eight".