162381399516000 has 3072 divisors, whose sum is σ = 719503948800000. Its totient is φ = 35224906752000.

The previous prime is 162381399515963. The next prime is 162381399516031. The reversal of 162381399516000 is 615993183261.

162381399516000 is a `hidden beast` number, since 1 + 6 + 2 + 38 + 1 + 3 + 99 + 516 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 108326483251 + ... + 108326484749.

It is an arithmetic number, because the mean of its divisors is an integer number (234213525000).

Almost surely, 2^{162381399516000} is an apocalyptic number.

162381399516000 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 162381399516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359751974400000).

162381399516000 is an abundant number, since it is smaller than the sum of its proper divisors (557122549284000).

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

162381399516000 is an equidigital number, since it uses as much as digits as its factorization.

162381399516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 162381399516000 in words is "one hundred sixty-two trillion, three hundred eighty-one billion, three hundred ninety-nine million, five hundred sixteen thousand".