161482867200 has 180 divisors, whose sum is σ = 577903017978. Its totient is φ = 43062067200.

The previous prime is 161482867177. The next prime is 161482867223. The reversal of 161482867200 is 2768284161.

161482867200 is a `hidden beast` number, since 1 + 614 + 8 + 2 + 8 + 6 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161482867177) and next prime (161482867223).

It can be written as a sum of positive squares in 3 ways, for example, as 136710625536 + 24772241664 = 369744^2 + 157392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 17 ways as a sum of consecutive naturals, for example, 585681 + ... + 816080.

Almost surely, 2^161482867200 is an apocalyptic number.

161482867200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161482867200 is an abundant number, since it is smaller than the sum of its proper divisors (416420150778).

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

161482867200 is a wasteful number, since it uses less digits than its factorization.

161482867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401795 (or 1401771 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 161482867200 in words is "one hundred sixty-one billion, four hundred eighty-two million, eight hundred sixty-seven thousand, two hundred".