6136404145536 has 384 divisors, whose sum is σ = 19416066024960. Its totient is φ = 1711241441280.

The previous prime is 6136404145499. The next prime is 6136404145577. The reversal of 6136404145536 is 6355414046316.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2217708825 + ... + 2217711591.

It is an arithmetic number, because the mean of its divisors is an integer number (50562671940).

Almost surely, 2^{6136404145536} 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 6136404145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708033012480).

6136404145536 is an abundant number, since it is smaller than the sum of its proper divisors (13279661879424).

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

6136404145536 is a wasteful number, since it uses less digits than its factorization.

6136404145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 6136404145536 in words is "six trillion, one hundred thirty-six billion, four hundred four million, one hundred forty-five thousand, five hundred thirty-six".