145516501265664 has 144 divisors (see below), whose sum is σ = 393110403658560. Its totient is φ = 47776200130560.

The previous prime is 145516501265647. The next prime is 145516501265753. The reversal of 145516501265664 is 466562105615541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474322432 + ... + 474629120.

It is an arithmetic number, because the mean of its divisors is an integer number (2729933358740).

Almost surely, 2^{145516501265664} 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 145516501265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196555201829280).

145516501265664 is an abundant number, since it is smaller than the sum of its proper divisors (247593902392896).

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

145516501265664 is an equidigital number, since it uses as much as digits as its factorization.

145516501265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315996 (or 315982 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 145516501265664 in words is "one hundred forty-five trillion, five hundred sixteen billion, five hundred one million, two hundred sixty-five thousand, six hundred sixty-four".