145716014430 has 96 divisors (see below), whose sum is σ = 433349901504. Its totient is φ = 33278427648.

The previous prime is 145716014419. The next prime is 145716014467. The reversal of 145716014430 is 34410617541.

145716014430 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 1 + 601 + 4 + 43 + 0 = 666.

It is a super-2 number, since 2×145716014430² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 654652 + ... + 848528.

It is an arithmetic number, because the mean of its divisors is an integer number (4514061474).

Almost surely, 2^145716014430 is an apocalyptic number.

145716014430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145716014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216674950752).

145716014430 is an abundant number, since it is smaller than the sum of its proper divisors (287633887074).

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

145716014430 is a wasteful number, since it uses less digits than its factorization.

145716014430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195090 (or 195087 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 145716014430 in words is "one hundred forty-five billion, seven hundred sixteen million, fourteen thousand, four hundred thirty".