16134615114240 has 640 divisors, whose sum is σ = 62689929730560. Its totient is φ = 3455774097408.

The previous prime is 16134615114161. The next prime is 16134615114281. The reversal of 16134615114240 is 4241151643161.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209249134 + ... + 209326226.

It is an arithmetic number, because the mean of its divisors is an integer number (97953015204).

Almost surely, 2^{16134615114240} is an apocalyptic number.

16134615114240 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 16134615114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31344964865280).

16134615114240 is an abundant number, since it is smaller than the sum of its proper divisors (46555314616320).

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

16134615114240 is a wasteful number, since it uses less digits than its factorization.

16134615114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77372 (or 77356 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 16134615114240 in words is "sixteen trillion, one hundred thirty-four billion, six hundred fifteen million, one hundred fourteen thousand, two hundred forty".