7121688561174 has 256 divisors, whose sum is σ = 16740569272320. Its totient is φ = 1997035223040.

The previous prime is 7121688561019. The next prime is 7121688561181. The reversal of 7121688561174 is 4711658861217.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5969562322 + ... + 5969563514.

It is an arithmetic number, because the mean of its divisors is an integer number (65392848720).

Almost surely, 2^{7121688561174} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121688561174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370284636160).

7121688561174 is an abundant number, since it is smaller than the sum of its proper divisors (9618880711146).

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

7121688561174 is a wasteful number, since it uses less digits than its factorization.

7121688561174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835.

The product of its digits is 4515840, while the sum is 57.

The spelling of 7121688561174 in words is "seven trillion, one hundred twenty-one billion, six hundred eighty-eight million, five hundred sixty-one thousand, one hundred seventy-four".