125338310496 has 864 divisors, whose sum is σ = 459705456000. Its totient is φ = 33111203328.

The previous prime is 125338310491. The next prime is 125338310509. The reversal of 125338310496 is 694013833521.

125338310496 is a `hidden beast` number, since 1 + 2 + 533 + 8 + 3 + 104 + 9 + 6 = 666.

125338310496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125338310491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 901714395 + ... + 901714533.

It is an arithmetic number, because the mean of its divisors is an integer number (532066500).

Almost surely, 2^125338310496 is an apocalyptic number.

125338310496 is a gapful number since it is divisible by the number (16) 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 125338310496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229852728000).

125338310496 is an abundant number, since it is smaller than the sum of its proper divisors (334367145504).

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

125338310496 is a wasteful number, since it uses less digits than its factorization.

125338310496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125338310496 in words is "one hundred twenty-five billion, three hundred thirty-eight million, three hundred ten thousand, four hundred ninety-six".