13834864347480 has 384 divisors, whose sum is σ = 51163510809600. Its totient is φ = 3322558229760.

The previous prime is 13834864347463. The next prime is 13834864347517. The reversal of 13834864347480 is 8474346843831.

13834864347480 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 4 + 86 + 4 + 3 + 474 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13488049 + ... + 14477471.

It is an arithmetic number, because the mean of its divisors is an integer number (133238309400).

Almost surely, 2^{13834864347480} is an apocalyptic number.

13834864347480 is a gapful number since it is divisible by the number (10) 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 13834864347480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25581755404800).

13834864347480 is an abundant number, since it is smaller than the sum of its proper divisors (37328646462120).

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

13834864347480 is a wasteful number, since it uses less digits than its factorization.

13834864347480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989572 (or 989551 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 13834864347480 in words is "thirteen trillion, eight hundred thirty-four billion, eight hundred sixty-four million, three hundred forty-seven thousand, four hundred eighty".