1538940102336 has 1344 divisors, whose sum is σ = 5989305369600. Its totient is φ = 383303467008.

The previous prime is 1538940102331. The next prime is 1538940102347. The reversal of 1538940102336 is 6332010498351.

1538940102336 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 9 + 401 + 0 + 233 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1538940102291 and 1538940102300.

It is not an unprimeable number, because it can be changed into a prime (1538940102331) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2253206251 + ... + 2253206933.

It is an arithmetic number, because the mean of its divisors is an integer number (4456328400).

Almost surely, 2^{1538940102336} is an apocalyptic number.

1538940102336 is a gapful number since it is divisible by the number (16) 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 1538940102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994652684800).

1538940102336 is an abundant number, since it is smaller than the sum of its proper divisors (4450365267264).

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

1538940102336 is a wasteful number, since it uses less digits than its factorization.

1538940102336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1538940102336 in words is "one trillion, five hundred thirty-eight billion, nine hundred forty million, one hundred two thousand, three hundred thirty-six".