1605616356136 has 64 divisors (see below), whose sum is σ = 3274333171200. Its totient is φ = 733691685888.

The previous prime is 1605616356107. The next prime is 1605616356199. The reversal of 1605616356136 is 6316536165061.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1605616356136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55334400 + ... + 55363408.

It is an arithmetic number, because the mean of its divisors is an integer number (51161455800).

Almost surely, 2^{1605616356136} 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 1605616356136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637166585600).

1605616356136 is an abundant number, since it is smaller than the sum of its proper divisors (1668716815064).

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

1605616356136 is a wasteful number, since it uses less digits than its factorization.

1605616356136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34298 (or 34294 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 1605616356136 in words is "one trillion, six hundred five billion, six hundred sixteen million, three hundred fifty-six thousand, one hundred thirty-six".