4971991581168 has 80 divisors (see below), whose sum is σ = 12857120666016. Its totient is φ = 1655678361600.

The previous prime is 4971991581131. The next prime is 4971991581181. The reversal of 4971991581168 is 8611851991794.

It is a super-4 number, since 4×4971991581168⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482665618 + ... + 482675918.

Almost surely, 2^{4971991581168} is an apocalyptic number.

4971991581168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4971991581168 is an abundant number, since it is smaller than the sum of its proper divisors (7885129084848).

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

4971991581168 is a wasteful number, since it uses less digits than its factorization.

4971991581168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19362 (or 19356 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 69.

The spelling of 4971991581168 in words is "four trillion, nine hundred seventy-one billion, nine hundred ninety-one million, five hundred eighty-one thousand, one hundred sixty-eight".