224541153413664 has 96 divisors (see below), whose sum is σ = 608476747382784. Its totient is φ = 72427552247040.

The previous prime is 224541153413663. The next prime is 224541153413699. The reversal of 224541153413664 is 466314351145422.

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

It is not an unprimeable number, because it can be changed into a prime (224541153413663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39928147 + ... + 45203309.

It is an arithmetic number, because the mean of its divisors is an integer number (6338299451904).

Almost surely, 2^{224541153413664} is an apocalyptic number.

224541153413664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224541153413664 is an abundant number, since it is smaller than the sum of its proper divisors (383935593969120).

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

224541153413664 is a wasteful number, since it uses less digits than its factorization.

224541153413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289510 (or 5289502 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 224541153413664 in words is "two hundred twenty-four trillion, five hundred forty-one billion, one hundred fifty-three million, four hundred thirteen thousand, six hundred sixty-four".