145564412424192 has 312 divisors, whose sum is σ = 452902586692608. Its totient is φ = 44914677350400.

The previous prime is 145564412424191. The next prime is 145564412424247. The reversal of 145564412424192 is 291424214465541.

It is a happy number.

145564412424192 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 6 + 441 + 2 + 4 + 2 + 4 + 192 = 666.

It is not an unprimeable number, because it can be changed into a prime (145564412424191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23514967 + ... + 29053097.

It is an arithmetic number, because the mean of its divisors is an integer number (1451610854784).

Almost surely, 2^{145564412424192} is an apocalyptic number.

145564412424192 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 145564412424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226451293346304).

145564412424192 is an abundant number, since it is smaller than the sum of its proper divisors (307338174268416).

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

145564412424192 is a wasteful number, since it uses less digits than its factorization.

145564412424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538215 (or 5538190 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 145564412424192 in words is "one hundred forty-five trillion, five hundred sixty-four billion, four hundred twelve million, four hundred twenty-four thousand, one hundred ninety-two".