8474114769120 has 3072 divisors, whose sum is σ = 44391429734400. Its totient is φ = 1449038315520.

The previous prime is 8474114769091. The next prime is 8474114769151. The reversal of 8474114769120 is 219674114748.

8474114769120 is a `hidden beast` number, since 8 + 4 + 7 + 41 + 1 + 476 + 9 + 120 = 666.

It is a super-2 number, since 2×8474114769120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1396752327 + ... + 1396758393.

It is an arithmetic number, because the mean of its divisors is an integer number (14450335200).

Almost surely, 2^{8474114769120} is an apocalyptic number.

8474114769120 is a gapful number since it is divisible by the number (80) 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 8474114769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195714867200).

8474114769120 is an abundant number, since it is smaller than the sum of its proper divisors (35917314965280).

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

8474114769120 is a wasteful number, since it uses less digits than its factorization.

8474114769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 8474114769120 in words is "eight trillion, four hundred seventy-four billion, one hundred fourteen million, seven hundred sixty-nine thousand, one hundred twenty".