3118197430656 has 384 divisors, whose sum is σ = 11601383189760. Its totient is φ = 809920788480.

The previous prime is 3118197430651. The next prime is 3118197430727. The reversal of 3118197430656 is 6560347918113.

3118197430656 is a `hidden beast` number, since 3 + 1 + 18 + 197 + 430 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3118197430651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1744030 + ... + 3045986.

It is an arithmetic number, because the mean of its divisors is an integer number (30211935390).

Almost surely, 2^{3118197430656} is an apocalyptic number.

3118197430656 is a gapful number since it is divisible by the number (36) 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 3118197430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800691594880).

3118197430656 is an abundant number, since it is smaller than the sum of its proper divisors (8483185759104).

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

3118197430656 is a wasteful number, since it uses less digits than its factorization.

3118197430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302004 (or 1301980 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3118197430656 in words is "three trillion, one hundred eighteen billion, one hundred ninety-seven million, four hundred thirty thousand, six hundred fifty-six".