162665810461440 has 1440 divisors, whose sum is σ = 684285754521600. Its totient is φ = 36375137648640.

The previous prime is 162665810461417. The next prime is 162665810461477. The reversal of 162665810461440 is 44164018566261.

162665810461440 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 5 + 8 + 10 + 4 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27858502041 + ... + 27858507879.

It is an arithmetic number, because the mean of its divisors is an integer number (475198440640).

Almost surely, 2^{162665810461440} is an apocalyptic number.

162665810461440 is a gapful number since it is divisible by the number (10) 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 162665810461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342142877260800).

162665810461440 is an abundant number, since it is smaller than the sum of its proper divisors (521619944060160).

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

162665810461440 is a wasteful number, since it uses less digits than its factorization.

162665810461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 162665810461440 in words is "one hundred sixty-two trillion, six hundred sixty-five billion, eight hundred ten million, four hundred sixty-one thousand, four hundred forty".