161393450400 has 1152 divisors, whose sum is σ = 734113013760. Its totient is φ = 33308651520.

The previous prime is 161393450381. The next prime is 161393450411. The reversal of 161393450400 is 4054393161.

161393450400 is a `hidden beast` number, since 1 + 61 + 3 + 93 + 4 + 504 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92382327 + ... + 92384073.

It is an arithmetic number, because the mean of its divisors is an integer number (637250880).

Almost surely, 2^161393450400 is an apocalyptic number.

161393450400 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 161393450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367056506880).

161393450400 is an abundant number, since it is smaller than the sum of its proper divisors (572719563360).

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

161393450400 is a wasteful number, since it uses less digits than its factorization.

161393450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 161393450400 in words is "one hundred sixty-one billion, three hundred ninety-three million, four hundred fifty thousand, four hundred".