253440146736 has 240 divisors, whose sum is σ = 825205754880. Its totient is φ = 71115770880.

The previous prime is 253440146731. The next prime is 253440146761. The reversal of 253440146736 is 637641044352.

253440146736 is a `hidden beast` number, since 2 + 534 + 4 + 0 + 1 + 46 + 73 + 6 = 666.

It is a super-2 number, since 2×253440146736² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253440146691 and 253440146700.

It is not an unprimeable number, because it can be changed into a prime (253440146731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17579371 + ... + 17593781.

It is an arithmetic number, because the mean of its divisors is an integer number (3438357312).

Almost surely, 2^253440146736 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 253440146736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412602877440).

253440146736 is an abundant number, since it is smaller than the sum of its proper divisors (571765608144).

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

253440146736 is a wasteful number, since it uses less digits than its factorization.

253440146736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14744 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 253440146736 in words is "two hundred fifty-three billion, four hundred forty million, one hundred forty-six thousand, seven hundred thirty-six".