125293942098648 has 512 divisors, whose sum is σ = 372667996800000. Its totient is φ = 38890769448960.

The previous prime is 125293942098641. The next prime is 125293942098671. The reversal of 125293942098648 is 846890249392521.

125293942098648 is a `hidden beast` number, since 1 + 2 + 5 + 29 + 39 + 420 + 98 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125293942098641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75614931036 + ... + 75614932692.

It is an arithmetic number, because the mean of its divisors is an integer number (727867181250).

Almost surely, 2^{125293942098648} is an apocalyptic number.

125293942098648 is a gapful number since it is divisible by the number (18) 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 125293942098648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186333998400000).

125293942098648 is an abundant number, since it is smaller than the sum of its proper divisors (247374054701352).

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

125293942098648 is a wasteful number, since it uses less digits than its factorization.

125293942098648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 125293942098648 in words is "one hundred twenty-five trillion, two hundred ninety-three billion, nine hundred forty-two million, ninety-eight thousand, six hundred forty-eight".