253463414112 has 240 divisors, whose sum is σ = 772990495200. Its totient is φ = 81378017280.

The previous prime is 253463414101. The next prime is 253463414123. The reversal of 253463414112 is 211414364352.

253463414112 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 634 + 1 + 4 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (253463414101) and next prime (253463414123).

It is a super-2 number, since 2×253463414112² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32994912 + ... + 33002592.

It is an arithmetic number, because the mean of its divisors is an integer number (3220793730).

Almost surely, 2^253463414112 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 253463414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386495247600).

253463414112 is an abundant number, since it is smaller than the sum of its proper divisors (519527081088).

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

253463414112 is a wasteful number, since it uses less digits than its factorization.

253463414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8154 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 253463414112 its reverse (211414364352), we get a palindrome (464877778464).

The spelling of 253463414112 in words is "two hundred fifty-three billion, four hundred sixty-three million, four hundred fourteen thousand, one hundred twelve".