4938374504448 has 1344 divisors, whose sum is σ = 19385435082240. Its totient is φ = 1226244096000.

The previous prime is 4938374504417. The next prime is 4938374504461. The reversal of 4938374504448 is 8444054738394.

4938374504448 is a `hidden beast` number, since 4 + 9 + 3 + 83 + 7 + 4 + 504 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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, 2742017148 + ... + 2742018948.

Almost surely, 2^{4938374504448} is an apocalyptic number.

4938374504448 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 4938374504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692717541120).

4938374504448 is an abundant number, since it is smaller than the sum of its proper divisors (14447060577792).

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

4938374504448 is a wasteful number, since it uses less digits than its factorization.

4938374504448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 4938374504448 in words is "four trillion, nine hundred thirty-eight billion, three hundred seventy-four million, five hundred four thousand, four hundred forty-eight".