6145659153936 has 405 divisors, whose sum is σ = 18514842777327. Its totient is φ = 1902715850880.

The previous prime is 6145659153877. The next prime is 6145659153937. The reversal of 6145659153936 is 6393519565416.

The square root of 6145659153936 is 2479044.

It is a perfect power (a square), and thus also a powerful number.

6145659153936 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 6 + 5 + 91 + 539 + 3 + 6 = 666.

Its product of digits (78732000) is a multiple of the sum of its prime factors (480).

It is not an unprimeable number, because it can be changed into a prime (6145659153937) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46913428591 + ... + 46913428721.

Almost surely, 2^{6145659153936} is an apocalyptic number.

6145659153936 is the 2479044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6145659153936

6145659153936 is an abundant number, since it is smaller than the sum of its proper divisors (12369183623391).

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

6145659153936 is a wasteful number, since it uses less digits than its factorization.

6145659153936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 238 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 6145659153936 in words is "six trillion, one hundred forty-five billion, six hundred fifty-nine million, one hundred fifty-three thousand, nine hundred thirty-six".