253645449152256 has 1440 divisors, whose sum is σ = 962580386009088. Its totient is φ = 64760498749440.

The previous prime is 253645449152209. The next prime is 253645449152269. The reversal of 253645449152256 is 652251944546352.

253645449152256 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 54 + 4 + 9 + 1 + 522 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 253645449152193 and 253645449152202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4054209231 + ... + 4054271793.

Almost surely, 2^{253645449152256} 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 253645449152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481290193004544).

253645449152256 is an abundant number, since it is smaller than the sum of its proper divisors (708934936856832).

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

253645449152256 is a wasteful number, since it uses less digits than its factorization.

253645449152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62699 (or 62676 counting only the distinct ones).

The product of its digits is 311040000, while the sum is 63.

The spelling of 253645449152256 in words is "two hundred fifty-three trillion, six hundred forty-five billion, four hundred forty-nine million, one hundred fifty-two thousand, two hundred fifty-six".