4971111021216 has 384 divisors, whose sum is σ = 15207103296000. Its totient is φ = 1576884215808.

The previous prime is 4971111021181. The next prime is 4971111021281. The reversal of 4971111021216 is 6121201111794.

4971111021216 is a `hidden beast` number, since 497 + 11 + 110 + 21 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5996514690 + ... + 5996515518.

It is an arithmetic number, because the mean of its divisors is an integer number (39601831500).

Almost surely, 2^{4971111021216} is an apocalyptic number.

4971111021216 is a gapful number since it is divisible by the number (46) 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 4971111021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603551648000).

4971111021216 is an abundant number, since it is smaller than the sum of its proper divisors (10235992274784).

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

4971111021216 is a wasteful number, since it uses less digits than its factorization.

4971111021216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 4971111021216 in words is "four trillion, nine hundred seventy-one billion, one hundred eleven million, twenty-one thousand, two hundred sixteen".