6123618579456 has 1100 divisors, whose sum is σ = 21620688388068. Its totient is φ = 1726105780224.

The previous prime is 6123618579451. The next prime is 6123618579457. The reversal of 6123618579456 is 6549758163216.

It is a happy number.

6123618579456 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 6 + 1 + 8 + 579 + 4 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1339074809856 + 4784543769600 = 1157184^2 + 2187360^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6123618579393 and 6123618579402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123618579451) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 19317408610 + ... + 19317408926.

Almost surely, 2^{6123618579456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123618579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810344194034).

6123618579456 is an abundant number, since it is smaller than the sum of its proper divisors (15497069808612).

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

6123618579456 is an frugal number, since it uses more digits than its factorization.

6123618579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 426 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 6123618579456 in words is "six trillion, one hundred twenty-three billion, six hundred eighteen million, five hundred seventy-nine thousand, four hundred fifty-six".