161646387302400 has 3744 divisors, whose sum is σ = 742827010028544. Its totient is φ = 29950083072000.

The previous prime is 161646387302341. The next prime is 161646387302423. The reversal of 161646387302400 is 4203783646161.

It is a super-2 number, since 2×161646387302400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 295514418927 + ... + 295514419473.

Almost surely, 2^{161646387302400} is an apocalyptic number.

161646387302400 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 161646387302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371413505014272).

161646387302400 is an abundant number, since it is smaller than the sum of its proper divisors (581180622726144).

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

161646387302400 is a wasteful number, since it uses less digits than its factorization.

161646387302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 161646387302400 in words is "one hundred sixty-one trillion, six hundred forty-six billion, three hundred eighty-seven million, three hundred two thousand, four hundred".