145043322095616 has 384 divisors, whose sum is σ = 477761042304000. Its totient is φ = 38198761684992.

The previous prime is 145043322095587. The next prime is 145043322095629. The reversal of 145043322095616 is 616590223340541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27835995 + ... + 32633253.

It is an arithmetic number, because the mean of its divisors is an integer number (1244169381000).

Almost surely, 2^{145043322095616} is an apocalyptic number.

145043322095616 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 145043322095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238880521152000).

145043322095616 is an abundant number, since it is smaller than the sum of its proper divisors (332717720208384).

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

145043322095616 is a wasteful number, since it uses less digits than its factorization.

145043322095616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797347 (or 4797327 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 145043322095616 in words is "one hundred forty-five trillion, forty-three billion, three hundred twenty-two million, ninety-five thousand, six hundred sixteen".