161462246400 has 2112 divisors, whose sum is σ = 777810216960. Its totient is φ = 31850496000.

The previous prime is 161462246371. The next prime is 161462246423. The reversal of 161462246400 is 4642264161.

161462246400 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 6 + 2 + 2 + 4 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 1069286325 + ... + 1069286475.

Almost surely, 2^161462246400 is an apocalyptic number.

161462246400 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 161462246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388905108480).

161462246400 is an abundant number, since it is smaller than the sum of its proper divisors (616347970560).

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

161462246400 is a wasteful number, since it uses less digits than its factorization.

161462246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 161462246400 in words is "one hundred sixty-one billion, four hundred sixty-two million, two hundred forty-six thousand, four hundred".