4692111221664 has 72 divisors (see below), whose sum is σ = 13343980742820. Its totient is φ = 1563944537088.

The previous prime is 4692111221647. The next prime is 4692111221719. The reversal of 4692111221664 is 4661221112964.

4692111221664 is a `hidden beast` number, since 469 + 2 + 1 + 1 + 1 + 22 + 166 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4055019909264 + 637091312400 = 2013708^2 + 798180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4482834 + ... + 5429550.

Almost surely, 2^{4692111221664} is an apocalyptic number.

It is an amenable number.

4692111221664 is an abundant number, since it is smaller than the sum of its proper divisors (8651869521156).

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

4692111221664 is a wasteful number, since it uses less digits than its factorization.

4692111221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963942 (or 963931 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 4692111221664 in words is "four trillion, six hundred ninety-two billion, one hundred eleven million, two hundred twenty-one thousand, six hundred sixty-four".