42676539123456 has 864 divisors, whose sum is σ = 148763677870080. Its totient is φ = 11949590458368.

The previous prime is 42676539123329. The next prime is 42676539123461. The reversal of 42676539123456 is 65432193567624.

42676539123456 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 6 + 5 + 391 + 234 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×42676539123456² (a number of 28 digits) contains 22 as substring.

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 = 42676539123393 and 42676539123402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8915088295 + ... + 8915093081.

It is an arithmetic number, because the mean of its divisors is an integer number (172180182720).

Almost surely, 2^{42676539123456} 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 42676539123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74381838935040).

42676539123456 is an abundant number, since it is smaller than the sum of its proper divisors (106087138746624).

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

42676539123456 is an equidigital number, since it uses as much as digits as its factorization.

42676539123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5205 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 42676539123456 in words is "forty-two trillion, six hundred seventy-six billion, five hundred thirty-nine million, one hundred twenty-three thousand, four hundred fifty-six".