126274463744 has 288 divisors, whose sum is σ = 315964696320. Its totient is φ = 49840128000.

The previous prime is 126274463741. The next prime is 126274463759. The reversal of 126274463744 is 447364472621.

It is a super-4 number, since 4×126274463744⁴ (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126274463692 and 126274463701.

It is not an unprimeable number, because it can be changed into a prime (126274463741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64721969 + ... + 64723919.

It is an arithmetic number, because the mean of its divisors is an integer number (1097099640).

Almost surely, 2^126274463744 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 126274463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157982348160).

126274463744 is an abundant number, since it is smaller than the sum of its proper divisors (189690232576).

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

126274463744 is a wasteful number, since it uses less digits than its factorization.

126274463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 1994 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 50.

The spelling of 126274463744 in words is "one hundred twenty-six billion, two hundred seventy-four million, four hundred sixty-three thousand, seven hundred forty-four".