161454626611200 has 3360 divisors, whose sum is σ = 688654920514176. Its totient is φ = 37081621463040.

The previous prime is 161454626611199. The next prime is 161454626611219. The reversal of 161454626611200 is 2116626454161.

161454626611200 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 5 + 4 + 6 + 2 + 6 + 611 + 20 + 0 = 666.

It is a super-2 number, since 2×161454626611200² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 239 ways as a sum of consecutive naturals, for example, 213282201222 + ... + 213282201978.

Almost surely, 2^{161454626611200} is an apocalyptic number.

161454626611200 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 161454626611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344327460257088).

161454626611200 is an abundant number, since it is smaller than the sum of its proper divisors (527200293902976).

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

161454626611200 is a wasteful number, since it uses less digits than its factorization.

161454626611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 161454626611200 in words is "one hundred sixty-one trillion, four hundred fifty-four billion, six hundred twenty-six million, six hundred eleven thousand, two hundred".