1355561146464 has 96 divisors (see below), whose sum is σ = 4067038838016. Its totient is φ = 387269337600.

The previous prime is 1355561146397. The next prime is 1355561146477. The reversal of 1355561146464 is 4646411655531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8184279 + ... + 8348265.

It is an arithmetic number, because the mean of its divisors is an integer number (42364987896).

Almost surely, 2^{1355561146464} is an apocalyptic number.

1355561146464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1355561146464 is an abundant number, since it is smaller than the sum of its proper divisors (2711477691552).

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

1355561146464 is a wasteful number, since it uses less digits than its factorization.

1355561146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176308 (or 176300 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 1355561146464 in words is "one trillion, three hundred fifty-five billion, five hundred sixty-one million, one hundred forty-six thousand, four hundred sixty-four".