162453030667200 has 9072 divisors, whose sum is σ = 836557686881280. Its totient is φ = 30666832035840.

The previous prime is 162453030667133. The next prime is 162453030667253. The reversal of 162453030667200 is 2766030354261.

162453030667200 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 530 + 30 + 6 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 2056367476761 + ... + 2056367476839.

Almost surely, 2^{162453030667200} is an apocalyptic number.

162453030667200 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 162453030667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418278843440640).

162453030667200 is an abundant number, since it is smaller than the sum of its proper divisors (674104656214080).

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

162453030667200 is a wasteful number, since it uses less digits than its factorization.

162453030667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 162453030667200 in words is "one hundred sixty-two trillion, four hundred fifty-three billion, thirty million, six hundred sixty-seven thousand, two hundred".