253461342008 has 64 divisors (see below), whose sum is σ = 571904678400. Its totient is φ = 102875391360.

The previous prime is 253461342007. The next prime is 253461342037. The reversal of 253461342008 is 800243164352.

253461342008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253461342007) 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 15 ways as a sum of consecutive naturals, for example, 3347141 + ... + 3422027.

It is an arithmetic number, because the mean of its divisors is an integer number (8936010600).

Almost surely, 2^253461342008 is an apocalyptic number.

253461342008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253461342008 is an abundant number, since it is smaller than the sum of its proper divisors (318443336392).

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

253461342008 is a wasteful number, since it uses less digits than its factorization.

253461342008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78100 (or 78096 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 253461342008 in words is "two hundred fifty-three billion, four hundred sixty-one million, three hundred forty-two thousand, eight".