161247731961600 has 864 divisors, whose sum is σ = 597730516131840. Its totient is φ = 42532276469760.

The previous prime is 161247731961593. The next prime is 161247731961649. The reversal of 161247731961600 is 6169137742161.

It is a happy number.

161247731961600 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 4 + 7 + 7 + 3 + 19 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 7395656299 + ... + 7395678101.

Almost surely, 2^{161247731961600} is an apocalyptic number.

161247731961600 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 161247731961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298865258065920).

161247731961600 is an abundant number, since it is smaller than the sum of its proper divisors (436482784170240).

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

161247731961600 is a wasteful number, since it uses less digits than its factorization.

161247731961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22302 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 161247731961600 in words is "one hundred sixty-one trillion, two hundred forty-seven billion, seven hundred thirty-one million, nine hundred sixty-one thousand, six hundred".