7122916472616 has 256 divisors, whose sum is σ = 23807037696000. Its totient is φ = 1927644894720.

The previous prime is 7122916472611. The next prime is 7122916472621. The reversal of 7122916472616 is 6162746192217.

7122916472616 is a `hidden beast` number, since 7 + 1 + 2 + 2 + 9 + 16 + 4 + 7 + 2 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (7122916472611) and next prime (7122916472621).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (7122916472611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175823835 + ... + 175864341.

It is an arithmetic number, because the mean of its divisors is an integer number (92996241000).

Almost surely, 2^{7122916472616} is an apocalyptic number.

7122916472616 is a gapful number since it is divisible by the number (76) 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 7122916472616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903518848000).

7122916472616 is an abundant number, since it is smaller than the sum of its proper divisors (16684121223384).

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

7122916472616 is a wasteful number, since it uses less digits than its factorization.

7122916472616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46669 (or 46659 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 7122916472616 in words is "seven trillion, one hundred twenty-two billion, nine hundred sixteen million, four hundred seventy-two thousand, six hundred sixteen".