1353464410536 has 72 divisors (see below), whose sum is σ = 4264103447370. Its totient is φ = 386704116288.

The previous prime is 1353464410481. The next prime is 1353464410553. The reversal of 1353464410536 is 6350144643531.

1353464410536 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 64 + 4 + 1 + 0 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1353010976100 + 453434436 = 1163190^2 + 21294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1353464410491 and 1353464410500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191813991 + ... + 191821046.

Almost surely, 2^{1353464410536} is an apocalyptic number.

It is an amenable number.

1353464410536 is an abundant number, since it is smaller than the sum of its proper divisors (2910639036834).

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

1353464410536 is a wasteful number, since it uses less digits than its factorization.

1353464410536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383635063 (or 383635049 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 1353464410536 in words is "one trillion, three hundred fifty-three billion, four hundred sixty-four million, four hundred ten thousand, five hundred thirty-six".