13401752012064 has 864 divisors, whose sum is σ = 45279193639680. Its totient is φ = 3870318993408.

The previous prime is 13401752012041. The next prime is 13401752012071. The reversal of 13401752012064 is 46021025710431.

13401752012064 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 1 + 7 + 520 + 120 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13401752012064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5859969129 + ... + 5859971415.

It is an arithmetic number, because the mean of its divisors is an integer number (52406474120).

Almost surely, 2^{13401752012064} 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 13401752012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639596819840).

13401752012064 is an abundant number, since it is smaller than the sum of its proper divisors (31877441627616).

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

13401752012064 is a wasteful number, since it uses less digits than its factorization.

13401752012064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 13401752012064 its reverse (46021025710431), we get a palindrome (59422777722495).

The spelling of 13401752012064 in words is "thirteen trillion, four hundred one billion, seven hundred fifty-two million, twelve thousand, sixty-four".