140248075968 has 1512 divisors, whose sum is σ = 577903268880. Its totient is φ = 33625912320.

The previous prime is 140248075967. The next prime is 140248076011. The reversal of 140248075968 is 869570842041.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140248075968 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 48 + 0 + 7 + 596 + 8 = 666.

140248075968 is digitally balanced in base 2, 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 (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (140248075967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10788313530 + ... + 10788313542.

Almost surely, 2^140248075968 is an apocalyptic number.

140248075968 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 140248075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288951634440).

140248075968 is an abundant number, since it is smaller than the sum of its proper divisors (437655192912).

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

140248075968 is an equidigital number, since it uses as much as digits as its factorization.

140248075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 140248075968 in words is "one hundred forty billion, two hundred forty-eight million, seventy-five thousand, nine hundred sixty-eight".