126348044625 has 384 divisors, whose sum is σ = 272781250560. Its totient is φ = 55641600000.

The previous prime is 126348044621. The next prime is 126348044651. The reversal of 126348044625 is 526440843621.

126348044625 is a `hidden beast` number, since 1 + 2 + 634 + 8 + 0 + 4 + 4 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 126348044625 - 2² = 126348044621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126348044621) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 456129987 + ... + 456130263.

It is an arithmetic number, because the mean of its divisors is an integer number (710367840).

Almost surely, 2^126348044625 is an apocalyptic number.

126348044625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126348044625 is an abundant number, since it is smaller than the sum of its proper divisors (146433205935).

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

126348044625 is a wasteful number, since it uses less digits than its factorization.

126348044625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 126348044625 in words is "one hundred twenty-six billion, three hundred forty-eight million, forty-four thousand, six hundred twenty-five".