1353147296256 has 720 divisors, whose sum is σ = 4742050176864. Its totient is φ = 384079159296.

The previous prime is 1353147296251. The next prime is 1353147296279. The reversal of 1353147296256 is 6526927413531.

1353147296256 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 4 + 7 + 2 + 9 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1353147296251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1054673791 + ... + 1054675073.

Almost surely, 2^{1353147296256} is an apocalyptic number.

1353147296256 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 1353147296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371025088432).

1353147296256 is an abundant number, since it is smaller than the sum of its proper divisors (3388902880608).

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

1353147296256 is an equidigital number, since it uses as much as digits as its factorization.

1353147296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1468 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 1353147296256 in words is "one trillion, three hundred fifty-three billion, one hundred forty-seven million, two hundred ninety-six thousand, two hundred fifty-six".