145411212464 has 80 divisors (see below), whose sum is σ = 324303886080. Its totient is φ = 61870521600.

The previous prime is 145411212451. The next prime is 145411212487. The reversal of 145411212464 is 464212114541.

It is a super-3 number, since 3×145411212464³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19511939 + ... + 19519389.

It is an arithmetic number, because the mean of its divisors is an integer number (4053798576).

Almost surely, 2^145411212464 is an apocalyptic number.

145411212464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145411212464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162151943040).

145411212464 is an abundant number, since it is smaller than the sum of its proper divisors (178892673616).

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

145411212464 is a wasteful number, since it uses less digits than its factorization.

145411212464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8692 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The spelling of 145411212464 in words is "one hundred forty-five billion, four hundred eleven million, two hundred twelve thousand, four hundred sixty-four".