3136129726464 has 768 divisors, whose sum is σ = 11218072320000. Its totient is φ = 856881856512.

The previous prime is 3136129726459. The next prime is 3136129726537. The reversal of 3136129726464 is 4646279216313.

3136129726464 is a `hidden beast` number, since 3 + 1 + 36 + 1 + 297 + 264 + 64 = 666.

3136129726464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3136129726464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3136129726464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721112962 + ... + 721117310.

It is an arithmetic number, because the mean of its divisors is an integer number (14606865000).

Almost surely, 2^{3136129726464} 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 3136129726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609036160000).

3136129726464 is an abundant number, since it is smaller than the sum of its proper divisors (8081942593536).

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

3136129726464 is an frugal number, since it uses more digits than its factorization.

3136129726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4384 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 3136129726464 in words is "three trillion, one hundred thirty-six billion, one hundred twenty-nine million, seven hundred twenty-six thousand, four hundred sixty-four".