162645323001840 has 2400 divisors, whose sum is σ = 694499213776896. Its totient is φ = 35270525122560.

The previous prime is 162645323001827. The next prime is 162645323001851. The reversal of 162645323001840 is 48100323546261.

162645323001840 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 4 + 532 + 30 + 0 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 126769541839 + ... + 126769543121.

Almost surely, 2^{162645323001840} is an apocalyptic number.

162645323001840 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 162645323001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347249606888448).

162645323001840 is an abundant number, since it is smaller than the sum of its proper divisors (531853890775056).

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

162645323001840 is an equidigital number, since it uses as much as digits as its factorization.

162645323001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 162645323001840 in words is "one hundred sixty-two trillion, six hundred forty-five billion, three hundred twenty-three million, one thousand, eight hundred forty".