162461400192 has 1024 divisors, whose sum is σ = 625121280000. Its totient is φ = 40382447616.

The previous prime is 162461400187. The next prime is 162461400193. The reversal of 162461400192 is 291004164261.

162461400192 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 61 + 400 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (162461400193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 428657859 + ... + 428658237.

It is an arithmetic number, because the mean of its divisors is an integer number (610470000).

Almost surely, 2^162461400192 is an apocalyptic number.

162461400192 is a gapful number since it is divisible by the number (12) 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 162461400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640000).

162461400192 is an abundant number, since it is smaller than the sum of its proper divisors (462659879808).

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

162461400192 is a wasteful number, since it uses less digits than its factorization.

162461400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 162461400192 in words is "one hundred sixty-two billion, four hundred sixty-one million, four hundred thousand, one hundred ninety-two".