253304646012 has 240 divisors, whose sum is σ = 732926202624. Its totient is φ = 75647520000.

The previous prime is 253304645989. The next prime is 253304646013. The reversal of 253304646012 is 210646403352.

253304646012 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 0 + 4 + 646 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253304646013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70497688 + ... + 70501280.

Almost surely, 2^253304646012 is an apocalyptic number.

253304646012 is a gapful number since it is divisible by the number (22) 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 253304646012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366463101312).

253304646012 is an abundant number, since it is smaller than the sum of its proper divisors (479621556612).

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

253304646012 is a wasteful number, since it uses less digits than its factorization.

253304646012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 253304646012 in words is "two hundred fifty-three billion, three hundred four million, six hundred forty-six thousand, twelve".