126004419542016 has 176 divisors, whose sum is σ = 375248860761600. Its totient is φ = 41766826438656.

The previous prime is 126004419542009. The next prime is 126004419542021. The reversal of 126004419542016 is 610245914400621.

126004419542016 is a `hidden beast` number, since 1 + 2 + 60 + 0 + 4 + 41 + 9 + 542 + 0 + 1 + 6 = 666.

126004419542016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126004419542016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7781320 + ... + 17679303.

Almost surely, 2^{126004419542016} is an apocalyptic number.

126004419542016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126004419542016 is an abundant number, since it is smaller than the sum of its proper divisors (249244441219584).

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

126004419542016 is a wasteful number, since it uses less digits than its factorization.

126004419542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25460831 (or 25460807 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 126004419542016 in words is "one hundred twenty-six trillion, four billion, four hundred nineteen million, five hundred forty-two thousand, sixteen".