125344260246400 has 192 divisors, whose sum is σ = 353073088907280. Its totient is φ = 43558548111360.

The previous prime is 125344260246391. The next prime is 125344260246407. The reversal of 125344260246400 is 4642062443521.

It is a super-2 number, since 2×125344260246400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125344260246407) 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, 87912894 + ... + 89327293.

Almost surely, 2^{125344260246400} is an apocalyptic number.

125344260246400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125344260246400 is an abundant number, since it is smaller than the sum of its proper divisors (227728828660880).

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

125344260246400 is a wasteful number, since it uses less digits than its factorization.

125344260246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177240241 (or 177240224 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 125344260246400 in words is "one hundred twenty-five trillion, three hundred forty-four billion, two hundred sixty million, two hundred forty-six thousand, four hundred".