145963252512 has 864 divisors, whose sum is σ = 560420078400. Its totient is φ = 35829319680.

The previous prime is 145963252511. The next prime is 145963252517. The reversal of 145963252512 is 215252369541.

145963252512 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 632 + 5 + 2 + 5 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145963252511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356878164 + ... + 356878572.

It is an arithmetic number, because the mean of its divisors is an integer number (648634350).

Almost surely, 2^145963252512 is an apocalyptic number.

145963252512 is a gapful number since it is divisible by the number (12) 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 145963252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280210039200).

145963252512 is an abundant number, since it is smaller than the sum of its proper divisors (414456825888).

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

145963252512 is a wasteful number, since it uses less digits than its factorization.

145963252512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 451 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 145963252512 in words is "one hundred forty-five billion, nine hundred sixty-three million, two hundred fifty-two thousand, five hundred twelve".