1353613637340 has 48 divisors (see below), whose sum is σ = 4211242428960. Its totient is φ = 360963636480.

The previous prime is 1353613637279. The next prime is 1353613637347. The reversal of 1353613637340 is 437363163531.

1353613637340 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 6 + 1 + 3 + 637 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353613637347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253345421 + ... + 1253346500.

It is an arithmetic number, because the mean of its divisors is an integer number (87734217270).

Almost surely, 2^{1353613637340} is an apocalyptic number.

1353613637340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353613637340 is an abundant number, since it is smaller than the sum of its proper divisors (2857628791620).

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

1353613637340 is a wasteful number, since it uses less digits than its factorization.

1353613637340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506691939 (or 2506691931 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 1353613637340 in words is "one trillion, three hundred fifty-three billion, six hundred thirteen million, six hundred thirty-seven thousand, three hundred forty".