162838453363920 has 480 divisors, whose sum is σ = 565530077758464. Its totient is φ = 41946721689600.

The previous prime is 162838453363907. The next prime is 162838453363961. The reversal of 162838453363920 is 29363354838261.

It is a happy number.

162838453363920 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 3 + 8 + 4 + 533 + 6 + 3 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36130118307 + ... + 36130122813.

Almost surely, 2^{162838453363920} is an apocalyptic number.

162838453363920 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 162838453363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282765038879232).

162838453363920 is an abundant number, since it is smaller than the sum of its proper divisors (402691624394544).

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

162838453363920 is a wasteful number, since it uses less digits than its factorization.

162838453363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 162838453363920 in words is "one hundred sixty-two trillion, eight hundred thirty-eight billion, four hundred fifty-three million, three hundred sixty-three thousand, nine hundred twenty".