161641575014700 has 288 divisors, whose sum is σ = 528246862536960. Its totient is φ = 37802042700800.

The previous prime is 161641575014669. The next prime is 161641575014761. The reversal of 161641575014700 is 7410575146161.

It is a super-3 number, since 3×161641575014700³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 161641575014700.

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 95 ways as a sum of consecutive naturals, for example, 110572942 + ... + 112025258.

It is an arithmetic number, because the mean of its divisors is an integer number (1834190494920).

Almost surely, 2^{161641575014700} is an apocalyptic number.

161641575014700 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 161641575014700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264123431268480).

161641575014700 is an abundant number, since it is smaller than the sum of its proper divisors (366605287522260).

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

161641575014700 is a wasteful number, since it uses less digits than its factorization.

161641575014700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453537 (or 1453530 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 161641575014700 in words is "one hundred sixty-one trillion, six hundred forty-one billion, five hundred seventy-five million, fourteen thousand, seven hundred".