1353381292638 has 48 divisors (see below), whose sum is σ = 3015406015440. Its totient is φ = 438376572288.

The previous prime is 1353381292603. The next prime is 1353381292649. The reversal of 1353381292638 is 8362921833531.

1353381292638 is a `hidden beast` number, since 1 + 3 + 533 + 8 + 12 + 92 + 6 + 3 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766903 + ... + 1815186.

It is an arithmetic number, because the mean of its divisors is an integer number (62820958655).

Almost surely, 2^{1353381292638} is an apocalyptic number.

1353381292638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1353381292638 is an abundant number, since it is smaller than the sum of its proper divisors (1662024722802).

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

1353381292638 is a wasteful number, since it uses less digits than its factorization.

1353381292638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582921 (or 2582918 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1353381292638 in words is "one trillion, three hundred fifty-three billion, three hundred eighty-one million, two hundred ninety-two thousand, six hundred thirty-eight".