1353470000256 has 768 divisors, whose sum is σ = 4765595627520. Its totient is φ = 377726976000.

The previous prime is 1353470000243. The next prime is 1353470000279. The reversal of 1353470000256 is 6520000743531.

1353470000256 is a `hidden beast` number, since 1 + 3 + 534 + 70 + 0 + 0 + 0 + 2 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1353470000256.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273370581 + ... + 273375531.

It is an arithmetic number, because the mean of its divisors is an integer number (6205202640).

Almost surely, 2^{1353470000256} is an apocalyptic number.

1353470000256 is a gapful number since it is divisible by the number (16) 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 1353470000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382797813760).

1353470000256 is an abundant number, since it is smaller than the sum of its proper divisors (3412125627264).

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

1353470000256 is a wasteful number, since it uses less digits than its factorization.

1353470000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 1353470000256 its reverse (6520000743531), we get a palindrome (7873470743787).

The spelling of 1353470000256 in words is "one trillion, three hundred fifty-three billion, four hundred seventy million, two hundred fifty-six", and thus it is an aban number.