633540126114 has 96 divisors (see below), whose sum is σ = 1661524240896. Its totient is φ = 170314721280.

The previous prime is 633540126103. The next prime is 633540126151. The reversal of 633540126114 is 411621045336.

633540126114 is a `hidden beast` number, since 6 + 3 + 35 + 4 + 0 + 1 + 2 + 611 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7736874 + ... + 7818330.

It is an arithmetic number, because the mean of its divisors is an integer number (17307544176).

Almost surely, 2^633540126114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633540126114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830762120448).

633540126114 is an abundant number, since it is smaller than the sum of its proper divisors (1027984114782).

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

633540126114 is a wasteful number, since it uses less digits than its factorization.

633540126114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85120 (or 85117 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 633540126114 in words is "six hundred thirty-three billion, five hundred forty million, one hundred twenty-six thousand, one hundred fourteen".