4467655489248 has 1152 divisors, whose sum is σ = 16449868431360. Its totient is φ = 1163973888000.

The previous prime is 4467655489211. The next prime is 4467655489277. The reversal of 4467655489248 is 8429845567644.

4467655489248 is a `hidden beast` number, since 4 + 4 + 6 + 76 + 5 + 548 + 9 + 2 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10612008078 + ... + 10612008498.

It is an arithmetic number, because the mean of its divisors is an integer number (14279399680).

Almost surely, 2^{4467655489248} is an apocalyptic number.

4467655489248 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 4467655489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224934215680).

4467655489248 is an abundant number, since it is smaller than the sum of its proper divisors (11982212942112).

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

4467655489248 is a wasteful number, since it uses less digits than its factorization.

4467655489248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 72.

The spelling of 4467655489248 in words is "four trillion, four hundred sixty-seven billion, six hundred fifty-five million, four hundred eighty-nine thousand, two hundred forty-eight".