16134660864 has 360 divisors, whose sum is σ = 56894412960. Its totient is φ = 4449779712.

The previous prime is 16134660791. The next prime is 16134660881. The reversal of 16134660864 is 46806643161.

16134660864 is a `hidden beast` number, since 1 + 6 + 1 + 34 + 6 + 608 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4207492 + ... + 4211324.

It is an arithmetic number, because the mean of its divisors is an integer number (158040036).

Almost surely, 2^16134660864 is an apocalyptic number.

16134660864 is a gapful number since it is divisible by the number (14) 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 16134660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28447206480).

16134660864 is an abundant number, since it is smaller than the sum of its proper divisors (40759752096).

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

16134660864 is an equidigital number, since it uses as much as digits as its factorization.

16134660864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16134660864 in words is "sixteen billion, one hundred thirty-four million, six hundred sixty thousand, eight hundred sixty-four".