2166468552864 has 1296 divisors, whose sum is σ = 8252888140224. Its totient is φ = 558611665920.

The previous prime is 2166468552821. The next prime is 2166468552917. The reversal of 2166468552864 is 4682558646612.

2166468552864 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 46 + 8 + 5 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (132710400) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15813639004 + ... + 15813639140.

It is an arithmetic number, because the mean of its divisors is an integer number (6367969244).

Almost surely, 2^{2166468552864} is an apocalyptic number.

2166468552864 is a gapful number since it is divisible by the number (24) 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 2166468552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126444070112).

2166468552864 is an abundant number, since it is smaller than the sum of its proper divisors (6086419587360).

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

2166468552864 is an frugal number, since it uses more digits than its factorization.

2166468552864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 160 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 2166468552864 in words is "two trillion, one hundred sixty-six billion, four hundred sixty-eight million, five hundred fifty-two thousand, eight hundred sixty-four".