162632141346400 has 288 divisors, whose sum is σ = 443382712690176. Its totient is φ = 57748104960000.

The previous prime is 162632141346371. The next prime is 162632141346401. The reversal of 162632141346400 is 4643141236261.

162632141346400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162632141346401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97584105 + ... + 99236695.

It is an arithmetic number, because the mean of its divisors is an integer number (1539523307952).

Almost surely, 2^{162632141346400} is an apocalyptic number.

162632141346400 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 162632141346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221691356345088).

162632141346400 is an abundant number, since it is smaller than the sum of its proper divisors (280750571343776).

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

162632141346400 is a wasteful number, since it uses less digits than its factorization.

162632141346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652886 (or 1652873 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 162632141346400 in words is "one hundred sixty-two trillion, six hundred thirty-two billion, one hundred forty-one million, three hundred forty-six thousand, four hundred".