145663343931456 has 896 divisors, whose sum is σ = 514768353361920. Its totient is φ = 39953593958400.

The previous prime is 145663343931437. The next prime is 145663343931509. The reversal of 145663343931456 is 654139343366541.

145663343931456 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 63 + 34 + 3 + 93 + 1 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145663343931393 and 145663343931402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 556279921 + ... + 556541711.

It is an arithmetic number, because the mean of its divisors is an integer number (574518251520).

Almost surely, 2^{145663343931456} is an apocalyptic number.

145663343931456 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 145663343931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257384176680960).

145663343931456 is an abundant number, since it is smaller than the sum of its proper divisors (369105009430464).

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

145663343931456 is a wasteful number, since it uses less digits than its factorization.

145663343931456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261920 (or 261904 counting only the distinct ones).

The product of its digits is 251942400, while the sum is 63.

The spelling of 145663343931456 in words is "one hundred forty-five trillion, six hundred sixty-three billion, three hundred forty-three million, nine hundred thirty-one thousand, four hundred fifty-six".