1945010164608 has 1536 divisors, whose sum is σ = 7551688320000. Its totient is φ = 494371454976.

The previous prime is 1945010164597. The next prime is 1945010164633. The reversal of 1945010164608 is 8064610105491.

1945010164608 is a `hidden beast` number, since 1 + 94 + 501 + 0 + 16 + 46 + 0 + 8 = 666.

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, 4430546853 + ... + 4430547291.

It is an arithmetic number, because the mean of its divisors is an integer number (4916463750).

Almost surely, 2^{1945010164608} is an apocalyptic number.

1945010164608 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 1945010164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775844160000).

1945010164608 is an abundant number, since it is smaller than the sum of its proper divisors (5606678155392).

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

1945010164608 is an equidigital number, since it uses as much as digits as its factorization.

1945010164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1945010164608 in words is "one trillion, nine hundred forty-five billion, ten million, one hundred sixty-four thousand, six hundred eight".