162257043456000 has 3360 divisors, whose sum is σ = 684043008929280. Its totient is φ = 38050725888000.

The previous prime is 162257043455987. The next prime is 162257043456083. The reversal of 162257043456000 is 654340752261.

162257043456000 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 5 + 7 + 0 + 4 + 34 + 5 + 600 + 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 159 ways as a sum of consecutive naturals, for example, 5234098175985 + ... + 5234098176015.

It is an arithmetic number, because the mean of its divisors is an integer number (203584228848).

Almost surely, 2^{162257043456000} is an apocalyptic number.

162257043456000 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 162257043456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342021504464640).

162257043456000 is an abundant number, since it is smaller than the sum of its proper divisors (521785965473280).

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

162257043456000 is an frugal number, since it uses more digits than its factorization.

162257043456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 162257043456000 in words is "one hundred sixty-two trillion, two hundred fifty-seven billion, forty-three million, four hundred fifty-six thousand".