13141000251648 has 864 divisors, whose sum is σ = 43198164172800. Its totient is φ = 3968139829248.

The previous prime is 13141000251641. The next prime is 13141000251661. The reversal of 13141000251648 is 84615200014131.

13141000251648 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 0 + 0 + 0 + 2 + 5 + 1 + 648 = 666.

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

It is a super-2 number, since 2×13141000251648² (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 not an unprimeable number, because it can be changed into a prime (13141000251641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3667595265 + ... + 3667598847.

It is an arithmetic number, because the mean of its divisors is an integer number (49997875200).

Almost surely, 2^{13141000251648} is an apocalyptic number.

13141000251648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141000251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599082086400).

13141000251648 is an abundant number, since it is smaller than the sum of its proper divisors (30057163921152).

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

13141000251648 is a wasteful number, since it uses less digits than its factorization.

13141000251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 13141000251648 its reverse (84615200014131), we get a palindrome (97756200265779).

The spelling of 13141000251648 in words is "thirteen trillion, one hundred forty-one billion, two hundred fifty-one thousand, six hundred forty-eight".