126117098054064 has 400 divisors, whose sum is σ = 396211122531840. Its totient is φ = 38498103221760.

The previous prime is 126117098054063. The next prime is 126117098054099. The reversal of 126117098054064 is 460450890711621.

126117098054064 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 1 + 7 + 0 + 98 + 0 + 540 + 6 + 4 = 666.

126117098054064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126117098054064.

It is not an unprimeable number, because it can be changed into a prime (126117098054063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11404018167 + ... + 11404029225.

Almost surely, 2^{126117098054064} 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 126117098054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198105561265920).

126117098054064 is an abundant number, since it is smaller than the sum of its proper divisors (270094024477776).

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

126117098054064 is a wasteful number, since it uses less digits than its factorization.

126117098054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390 (or 16375 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 126117098054064 in words is "one hundred twenty-six trillion, one hundred seventeen billion, ninety-eight million, fifty-four thousand, sixty-four".