253214517325644 has 144 divisors (see below), whose sum is σ = 734241560532480. Its totient is φ = 72077177652480.

The previous prime is 253214517325603. The next prime is 253214517325657. The reversal of 253214517325644 is 446523715412352.

253214517325644 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 1 + 4 + 5 + 1 + 73 + 2 + 564 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76838064 + ... + 80065704.

It is an arithmetic number, because the mean of its divisors is an integer number (5098899725920).

Almost surely, 2^{253214517325644} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253214517325644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367120780266240).

253214517325644 is an abundant number, since it is smaller than the sum of its proper divisors (481027043206836).

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

253214517325644 is a wasteful number, since it uses less digits than its factorization.

253214517325644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228820 (or 3228815 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 253214517325644 in words is "two hundred fifty-three trillion, two hundred fourteen billion, five hundred seventeen million, three hundred twenty-five thousand, six hundred forty-four".