1356395165748 has 288 divisors, whose sum is σ = 4097992254720. Its totient is φ = 370187366400.

The previous prime is 1356395165729. The next prime is 1356395165791. The reversal of 1356395165748 is 8475615936531.

1356395165748 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 9 + 51 + 6 + 574 + 8 = 666.

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

It is a congruent number.

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, 660688290 + ... + 660690342.

Almost surely, 2^{1356395165748} is an apocalyptic number.

1356395165748 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 1356395165748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048996127360).

1356395165748 is an abundant number, since it is smaller than the sum of its proper divisors (2741597088972).

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

1356395165748 is a wasteful number, since it uses less digits than its factorization.

1356395165748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3362 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 1356395165748 in words is "one trillion, three hundred fifty-six billion, three hundred ninety-five million, one hundred sixty-five thousand, seven hundred forty-eight".