145716351417108 has 432 divisors, whose sum is σ = 404412623247360. Its totient is φ = 44112611612160.

The previous prime is 145716351417107. The next prime is 145716351417149. The reversal of 145716351417108 is 801714153617541.

145716351417108 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 1 + 6 + 3 + 514 + 17 + 108 = 666.

It is a super-2 number, since 2×145716351417108² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145716351417107) 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 143 ways as a sum of consecutive naturals, for example, 91243800966 + ... + 91243802562.

Almost surely, 2^{145716351417108} is an apocalyptic number.

145716351417108 is a gapful number since it is divisible by the number (18) 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 145716351417108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202206311623680).

145716351417108 is an abundant number, since it is smaller than the sum of its proper divisors (258696271830252).

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

145716351417108 is a wasteful number, since it uses less digits than its factorization.

145716351417108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 145716351417108 in words is "one hundred forty-five trillion, seven hundred sixteen billion, three hundred fifty-one million, four hundred seventeen thousand, one hundred eight".