1538676524352 has 336 divisors, whose sum is σ = 4631106816000. Its totient is φ = 450059596800.

The previous prime is 1538676524317. The next prime is 1538676524369. The reversal of 1538676524352 is 2534256768351.

It is a junction number, because it is equal to n+sod(n) for n = 1538676524292 and 1538676524301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301757899 + ... + 301762997.

It is an arithmetic number, because the mean of its divisors is an integer number (13783056000).

Almost surely, 2^{1538676524352} is an apocalyptic number.

1538676524352 is a gapful number since it is divisible by the number (12) 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 1538676524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315553408000).

1538676524352 is an abundant number, since it is smaller than the sum of its proper divisors (3092430291648).

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

1538676524352 is a wasteful number, since it uses less digits than its factorization.

1538676524352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5565 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 57.

The spelling of 1538676524352 in words is "one trillion, five hundred thirty-eight billion, six hundred seventy-six million, five hundred twenty-four thousand, three hundred fifty-two".