145268616376224 has 144 divisors (see below), whose sum is σ = 450667531641600. Its totient is φ = 44020337172480.

The previous prime is 145268616376217. The next prime is 145268616376229. The reversal of 145268616376224 is 422673616862541.

145268616376224 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 6 + 8 + 616 + 3 + 7 + 6 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145268616376224² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145268616376229) 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 23 ways as a sum of consecutive naturals, for example, 427532352 + ... + 427872000.

It is an arithmetic number, because the mean of its divisors is an integer number (3129635636400).

Almost surely, 2^{145268616376224} is an apocalyptic number.

It is an amenable number.

145268616376224 is an abundant number, since it is smaller than the sum of its proper divisors (305398915265376).

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

145268616376224 is a wasteful number, since it uses less digits than its factorization.

145268616376224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474683 (or 474672 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 145268616376224 in words is "one hundred forty-five trillion, two hundred sixty-eight billion, six hundred sixteen million, three hundred seventy-six thousand, two hundred twenty-four".