162361393920 has 1152 divisors, whose sum is σ = 678150144000. Its totient is φ = 36373708800.

The previous prime is 162361393907. The next prime is 162361393933. The reversal of 162361393920 is 29393163261.

162361393920 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 613 + 9 + 3 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (162361393907) and next prime (162361393933).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×162361393920² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271053781 + ... + 271054379.

It is an arithmetic number, because the mean of its divisors is an integer number (588672000).

Almost surely, 2^162361393920 is an apocalyptic number.

162361393920 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 162361393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339075072000).

162361393920 is an abundant number, since it is smaller than the sum of its proper divisors (515788750080).

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

162361393920 is a wasteful number, since it uses less digits than its factorization.

162361393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 162361393920 in words is "one hundred sixty-two billion, three hundred sixty-one million, three hundred ninety-three thousand, nine hundred twenty".