1353923142768 has 280 divisors, whose sum is σ = 4541268555488. Its totient is φ = 382844952576.

The previous prime is 1353923142739. The next prime is 1353923142797. The reversal of 1353923142768 is 8672413293531.

1353923142768 is a `hidden beast` number, since 1 + 3 + 53 + 9 + 2 + 314 + 276 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1353923142739) and next prime (1353923142797).

It is a super-2 number, since 2×1353923142768² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7834380 + ... + 8005332.

Almost surely, 2^{1353923142768} is an apocalyptic number.

1353923142768 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 1353923142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270634277744).

1353923142768 is an abundant number, since it is smaller than the sum of its proper divisors (3187345412720).

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

1353923142768 is an equidigital number, since it uses as much as digits as its factorization.

1353923142768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171083 (or 171062 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 1353923142768 in words is "one trillion, three hundred fifty-three billion, nine hundred twenty-three million, one hundred forty-two thousand, seven hundred sixty-eight".