161247987823104 has 3840 divisors, whose sum is σ = 658307865600000. Its totient is φ = 38472182267904.

The previous prime is 161247987823099. The next prime is 161247987823189. The reversal of 161247987823104 is 401328789742161.

161247987823104 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 479 + 87 + 82 + 3 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 810291395997 + ... + 810291396195.

It is an arithmetic number, because the mean of its divisors is an integer number (171434340000).

Almost surely, 2^{161247987823104} is an apocalyptic number.

161247987823104 is a gapful number since it is divisible by the number (14) 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 161247987823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329153932800000).

161247987823104 is an abundant number, since it is smaller than the sum of its proper divisors (497059877776896).

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

161247987823104 is a wasteful number, since it uses less digits than its factorization.

161247987823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 161247987823104 in words is "one hundred sixty-one trillion, two hundred forty-seven billion, nine hundred eighty-seven million, eight hundred twenty-three thousand, one hundred four".