126523409408 has 88 divisors (see below), whose sum is σ = 276743329824. Its totient is φ = 57338265600.

The previous prime is 126523409399. The next prime is 126523409417. The reversal of 126523409408 is 804904325621.

It is an interprime number because it is at equal distance from previous prime (126523409399) and next prime (126523409417).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3779303 + ... + 3812633.

Almost surely, 2^126523409408 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 126523409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138371664912).

126523409408 is an abundant number, since it is smaller than the sum of its proper divisors (150219920416).

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

126523409408 is a wasteful number, since it uses less digits than its factorization.

126523409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33699 (or 33681 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 126523409408 in words is "one hundred twenty-six billion, five hundred twenty-three million, four hundred nine thousand, four hundred eight".