161546711040 has 1248 divisors, whose sum is σ = 685225771776. Its totient is φ = 35991060480.

The previous prime is 161546711033. The next prime is 161546711057. The reversal of 161546711040 is 40117645161.

161546711040 is a `hidden beast` number, since 1 + 6 + 1 + 546 + 7 + 1 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a junction number, because it is equal to n+sod(n) for n = 161546710986 and 161546711004.

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, 711659407 + ... + 711659633.

It is an arithmetic number, because the mean of its divisors is an integer number (549059112).

Almost surely, 2^161546711040 is an apocalyptic number.

161546711040 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 161546711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342612885888).

161546711040 is an abundant number, since it is smaller than the sum of its proper divisors (523679060736).

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

161546711040 is a wasteful number, since it uses less digits than its factorization.

161546711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 161546711040 in words is "one hundred sixty-one billion, five hundred forty-six million, seven hundred eleven thousand, forty".