145261416464 has 80 divisors (see below), whose sum is σ = 292822972416. Its totient is φ = 69732748800.

The previous prime is 145261416403. The next prime is 145261416497. The reversal of 145261416464 is 464614162541.

It is a super-2 number, since 2×145261416464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77637449 + ... + 77639319.

Almost surely, 2^145261416464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145261416464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146411486208).

145261416464 is an abundant number, since it is smaller than the sum of its proper divisors (147561555952).

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

145261416464 is a wasteful number, since it uses less digits than its factorization.

145261416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3058 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The spelling of 145261416464 in words is "one hundred forty-five billion, two hundred sixty-one million, four hundred sixteen thousand, four hundred sixty-four".