1353356707248 has 480 divisors, whose sum is σ = 4853259954816. Its totient is φ = 342516252672.

The previous prime is 1353356707231. The next prime is 1353356707249. The reversal of 1353356707248 is 8427076533531.

1353356707248 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 567 + 0 + 72 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1353356707194 and 1353356707203.

It is not an unprimeable number, because it can be changed into a prime (1353356707249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35374786 + ... + 35413022.

Almost surely, 2^{1353356707248} is an apocalyptic number.

1353356707248 is a gapful number since it is divisible by the number (18) 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 1353356707248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426629977408).

1353356707248 is an abundant number, since it is smaller than the sum of its proper divisors (3499903247568).

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

1353356707248 is a wasteful number, since it uses less digits than its factorization.

1353356707248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38381 (or 38372 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 1353356707248 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-six million, seven hundred seven thousand, two hundred forty-eight".