1358353613376 has 1120 divisors, whose sum is σ = 4600882750464. Its totient is φ = 394149888000.

The previous prime is 1358353613333. The next prime is 1358353613399. The reversal of 1358353613376 is 6733163538531.

1358353613376 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 3 + 536 + 1 + 33 + 76 = 666.

It is a super-2 number, since 2×1358353613376² (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7504716006 + ... + 7504716186.

Almost surely, 2^{1358353613376} is an apocalyptic number.

1358353613376 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 1358353613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300441375232).

1358353613376 is an abundant number, since it is smaller than the sum of its proper divisors (3242529137088).

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

1358353613376 is a wasteful number, since it uses less digits than its factorization.

1358353613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 1358353613376 in words is "one trillion, three hundred fifty-eight billion, three hundred fifty-three million, six hundred thirteen thousand, three hundred seventy-six".