145310001566656 has 112 divisors (see below), whose sum is σ = 310638884179968. Its totient is φ = 67244231577600.

The previous prime is 145310001566591. The next prime is 145310001566669. The reversal of 145310001566656 is 656665100013541.

It is a super-2 number, since 2×145310001566656² (a number of 29 digits) contains 22 as substring.

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, 309652456 + ... + 310121368.

Almost surely, 2^{145310001566656} is an apocalyptic number.

145310001566656 is a gapful number since it is divisible by the number (16) 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 145310001566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155319442089984).

145310001566656 is an abundant number, since it is smaller than the sum of its proper divisors (165328882613312).

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

145310001566656 is a wasteful number, since it uses less digits than its factorization.

145310001566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475770 (or 475760 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 145310001566656 in words is "one hundred forty-five trillion, three hundred ten billion, one million, five hundred sixty-six thousand, six hundred fifty-six".