145667663914608 has 960 divisors, whose sum is σ = 504090784124928. Its totient is φ = 40215650549760.

The previous prime is 145667663914579. The next prime is 145667663914621. The reversal of 145667663914608 is 806419366766541.

145667663914608 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 7 + 6 + 6 + 3 + 9 + 1 + 4 + 608 = 666.

It is a super-3 number, since 3×145667663914608³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5299497441 + ... + 5299524927.

Almost surely, 2^{145667663914608} is an apocalyptic number.

145667663914608 is a gapful number since it is divisible by the number (18) 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 145667663914608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252045392062464).

145667663914608 is an abundant number, since it is smaller than the sum of its proper divisors (358423120210320).

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

145667663914608 is a wasteful number, since it uses less digits than its factorization.

145667663914608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27772 (or 27754 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 145667663914608 in words is "one hundred forty-five trillion, six hundred sixty-seven billion, six hundred sixty-three million, nine hundred fourteen thousand, six hundred eight".