145869505470 has 192 divisors, whose sum is σ = 412129867968. Its totient is φ = 35582976000.

The previous prime is 145869505421. The next prime is 145869505477. The reversal of 145869505470 is 74505968541.

It is a happy number.

145869505470 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 6 + 95 + 0 + 547 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145869505477) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 70094830 + ... + 70096910.

It is an arithmetic number, because the mean of its divisors is an integer number (2146509729).

Almost surely, 2^145869505470 is an apocalyptic number.

145869505470 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 145869505470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206064933984).

145869505470 is an abundant number, since it is smaller than the sum of its proper divisors (266260362498).

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

145869505470 is a wasteful number, since it uses less digits than its factorization.

145869505470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 145869505470 in words is "one hundred forty-five billion, eight hundred sixty-nine million, five hundred five thousand, four hundred seventy".