1356615385344 has 576 divisors, whose sum is σ = 4278248325120. Its totient is φ = 423332904960.

The previous prime is 1356615385309. The next prime is 1356615385351. The reversal of 1356615385344 is 4435835166531.

1356615385344 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 61 + 538 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041146997 + ... + 1041148299.

Almost surely, 2^{1356615385344} 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 1356615385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139124162560).

1356615385344 is an abundant number, since it is smaller than the sum of its proper divisors (2921632939776).

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

1356615385344 is a wasteful number, since it uses less digits than its factorization.

1356615385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 1356615385344 in words is "one trillion, three hundred fifty-six billion, six hundred fifteen million, three hundred eighty-five thousand, three hundred forty-four".