145261416465 has 24 divisors (see below), whose sum is σ = 274676133888. Its totient is φ = 70429777440.

The previous prime is 145261416403. The next prime is 145261416497. The reversal of 145261416465 is 564614162541.

145261416465 is a `hidden beast` number, since 1 + 4 + 526 + 1 + 4 + 1 + 64 + 65 = 666.

It is not a de Polignac number, because 145261416465 - 2⁷ = 145261416337 is a prime.

It is a super-2 number, since 2×145261416465² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145261416465.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146728209 + ... + 146729198.

It is an arithmetic number, because the mean of its divisors is an integer number (11444838912).

Almost surely, 2^145261416465 is an apocalyptic number.

145261416465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145261416465 is a deficient number, since it is larger than the sum of its proper divisors (129414717423).

145261416465 is a wasteful number, since it uses less digits than its factorization.

145261416465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293457429 (or 293457426 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 145261416465 in words is "one hundred forty-five billion, two hundred sixty-one million, four hundred sixteen thousand, four hundred sixty-five".