161386463232000 has 1344 divisors, whose sum is σ = 605211606155520. Its totient is φ = 42959949004800.

The previous prime is 161386463231969. The next prime is 161386463232011. The reversal of 161386463232000 is 232364683161.

161386463232000 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 8 + 6 + 4 + 632 + 3 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286654463719 + ... + 286654464281.

It is an arithmetic number, because the mean of its divisors is an integer number (450306254580).

Almost surely, 2^{161386463232000} is an apocalyptic number.

161386463232000 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 161386463232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302605803077760).

161386463232000 is an abundant number, since it is smaller than the sum of its proper divisors (443825142923520).

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

161386463232000 is an frugal number, since it uses more digits than its factorization.

161386463232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 161386463232000 in words is "one hundred sixty-one trillion, three hundred eighty-six billion, four hundred sixty-three million, two hundred thirty-two thousand".