4619248444008 has 384 divisors, whose sum is σ = 14408017827840. Its totient is φ = 1374649056000.

The previous prime is 4619248443977. The next prime is 4619248444039. The reversal of 4619248444008 is 8004448429164.

4619248444008 is a `hidden beast` number, since 4 + 6 + 192 + 4 + 8 + 4 + 440 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4619248443977) and next prime (4619248444039).

It is a super-2 number, since 2×4619248444008² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 948313813 + ... + 948318683.

It is an arithmetic number, because the mean of its divisors is an integer number (37520879760).

Almost surely, 2^{4619248444008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4619248444008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204008913920).

4619248444008 is an abundant number, since it is smaller than the sum of its proper divisors (9788769383832).

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

4619248444008 is a wasteful number, since it uses less digits than its factorization.

4619248444008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5675 counting only the distinct ones).

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

The spelling of 4619248444008 in words is "four trillion, six hundred nineteen billion, two hundred forty-eight million, four hundred forty-four thousand, eight".