162389084949000 has 3072 divisors, whose sum is σ = 724462519173120. Its totient is φ = 31890309120000.

The previous prime is 162389084948983. The next prime is 162389084949001. The reversal of 162389084949000 is 949480983261.

162389084949000 is a `hidden beast` number, since 1 + 6 + 2 + 389 + 0 + 84 + 94 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (162389084949001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 75989275932 + ... + 75989278068.

It is an arithmetic number, because the mean of its divisors is an integer number (235827642960).

Almost surely, 2^{162389084949000} is an apocalyptic number.

162389084949000 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 162389084949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362231259586560).

162389084949000 is an abundant number, since it is smaller than the sum of its proper divisors (562073434224120).

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

162389084949000 is a wasteful number, since it uses less digits than its factorization.

162389084949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 162389084949000 in words is "one hundred sixty-two trillion, three hundred eighty-nine billion, eighty-four million, nine hundred forty-nine thousand".