126457291632 has 320 divisors, whose sum is σ = 408684953600. Its totient is φ = 32879416320.

The previous prime is 126457291607. The next prime is 126457291633. The reversal of 126457291632 is 236192754621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126457291633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27506358 + ... + 27510954.

It is an arithmetic number, because the mean of its divisors is an integer number (1277140480).

Almost surely, 2^126457291632 is an apocalyptic number.

126457291632 is a gapful number since it is divisible by the number (12) 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 126457291632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204342476800).

126457291632 is an abundant number, since it is smaller than the sum of its proper divisors (282227661968).

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

126457291632 is a wasteful number, since it uses less digits than its factorization.

126457291632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4798 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 126457291632 in words is "one hundred twenty-six billion, four hundred fifty-seven million, two hundred ninety-one thousand, six hundred thirty-two".