145347494845644 has 288 divisors, whose sum is σ = 460213051544064. Its totient is φ = 37657643904000.

The previous prime is 145347494845639. The next prime is 145347494845661. The reversal of 145347494845644 is 446548494743541.

145347494845644 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 7 + 494 + 84 + 56 + 4 + 4 = 666.

It is a super-2 number, since 2×145347494845644² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58815447 + ... + 61236849.

It is an arithmetic number, because the mean of its divisors is an integer number (1597961984528).

Almost surely, 2^{145347494845644} is an apocalyptic number.

145347494845644 is a gapful number since it is divisible by the number (14) 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 145347494845644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230106525772032).

145347494845644 is an abundant number, since it is smaller than the sum of its proper divisors (314865556698420).

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

145347494845644 is a wasteful number, since it uses less digits than its factorization.

145347494845644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421757 (or 2421752 counting only the distinct ones).

The product of its digits is 3715891200, while the sum is 72.

The spelling of 145347494845644 in words is "one hundred forty-five trillion, three hundred forty-seven billion, four hundred ninety-four million, eight hundred forty-five thousand, six hundred forty-four".