1603620971136 has 384 divisors, whose sum is σ = 5049058996800. Its totient is φ = 486763167744.

The previous prime is 1603620971111. The next prime is 1603620971153. The reversal of 1603620971136 is 6311790263061.

It is a happy number.

1603620971136 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 620 + 9 + 7 + 1 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1603620971091 and 1603620971100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67206120 + ... + 67229976.

Almost surely, 2^{1603620971136} is an apocalyptic number.

1603620971136 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 1603620971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524529498400).

1603620971136 is an abundant number, since it is smaller than the sum of its proper divisors (3445438025664).

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

1603620971136 is a wasteful number, since it uses less digits than its factorization.

1603620971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24016 (or 24001 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1603620971136 in words is "one trillion, six hundred three billion, six hundred twenty million, nine hundred seventy-one thousand, one hundred thirty-six".