253346736384 has 432 divisors, whose sum is σ = 847310929920. Its totient is φ = 71310274560.

The previous prime is 253346736373. The next prime is 253346736389. The reversal of 253346736384 is 483637643352.

253346736384 is a `hidden beast` number, since 2 + 533 + 4 + 6 + 73 + 6 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253346736384.

It is not an unprimeable number, because it can be changed into a prime (253346736389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366637479 + ... + 366638169.

Almost surely, 2^253346736384 is an apocalyptic number.

253346736384 is a gapful number since it is divisible by the number (24) 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 253346736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423655464960).

253346736384 is an abundant number, since it is smaller than the sum of its proper divisors (593964193536).

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

253346736384 is a wasteful number, since it uses less digits than its factorization.

253346736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1009 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 253346736384 in words is "two hundred fifty-three billion, three hundred forty-six million, seven hundred thirty-six thousand, three hundred eighty-four".