163249781400 has 336 divisors, whose sum is σ = 571739031360. Its totient is φ = 43329427200.

The previous prime is 163249781381. The next prime is 163249781417. The reversal of 163249781400 is 4187942361.

163249781400 is a `hidden beast` number, since 1 + 63 + 24 + 97 + 81 + 400 = 666.

It is a super-2 number, since 2×163249781400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32510890 + ... + 32515910.

It is an arithmetic number, because the mean of its divisors is an integer number (1701604260).

Almost surely, 2^163249781400 is an apocalyptic number.

163249781400 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 163249781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285869515680).

163249781400 is an abundant number, since it is smaller than the sum of its proper divisors (408489249960).

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

163249781400 is a wasteful number, since it uses less digits than its factorization.

163249781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 163249781400 in words is "one hundred sixty-three billion, two hundred forty-nine million, seven hundred eighty-one thousand, four hundred".