126138466347264 has 864 divisors, whose sum is σ = 441052684800000. Its totient is φ = 33868117426176.

The previous prime is 126138466347253. The next prime is 126138466347301. The reversal of 126138466347264 is 462743664831621.

126138466347264 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 8 + 46 + 63 + 472 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 21282005869 + ... + 21282011795.

Almost surely, 2^{126138466347264} is an apocalyptic number.

126138466347264 is a gapful number since it is divisible by the number (14) 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 126138466347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220526342400000).

126138466347264 is an abundant number, since it is smaller than the sum of its proper divisors (314914218452736).

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

126138466347264 is a wasteful number, since it uses less digits than its factorization.

126138466347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6506 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 126138466347264 in words is "one hundred twenty-six trillion, one hundred thirty-eight billion, four hundred sixty-six million, three hundred forty-seven thousand, two hundred sixty-four".