162133431863040 has 432 divisors, whose sum is σ = 616364252300160. Its totient is φ = 39022299832320.

The previous prime is 162133431863027. The next prime is 162133431863041. The reversal of 162133431863040 is 40368134331261.

162133431863040 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 3 + 3 + 4 + 3 + 1 + 8 + 630 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162133431863041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13011699 + ... + 22216461.

Almost surely, 2^{162133431863040} is an apocalyptic number.

162133431863040 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 162133431863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308182126150080).

162133431863040 is an abundant number, since it is smaller than the sum of its proper divisors (454230820437120).

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

162133431863040 is a wasteful number, since it uses less digits than its factorization.

162133431863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204940 (or 9204923 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 162133431863040 in words is "one hundred sixty-two trillion, one hundred thirty-three billion, four hundred thirty-one million, eight hundred sixty-three thousand, forty".