145969151328001 has 48 divisors (see below), whose sum is σ = 162927008426880. Its totient is φ = 130639677808640.

The previous prime is 145969151327999. The next prime is 145969151328059. The reversal of 145969151328001 is 100823151969541.

It is not a de Polignac number, because 145969151328001 - 2¹ = 145969151327999 is a prime.

It is a super-2 number, since 2×145969151328001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145969151128001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63025425 + ... + 65300401.

It is an arithmetic number, because the mean of its divisors is an integer number (3394312675560).

Almost surely, 2^{145969151328001} is an apocalyptic number.

It is an amenable number.

145969151328001 is a deficient number, since it is larger than the sum of its proper divisors (16957857098879).

145969151328001 is a wasteful number, since it uses less digits than its factorization.

145969151328001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275194 (or 2275177 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 145969151328001 in words is "one hundred forty-five trillion, nine hundred sixty-nine billion, one hundred fifty-one million, three hundred twenty-eight thousand, one".