138463450220160 has 3072 divisors, whose sum is σ = 579229341949440. Its totient is φ = 31302667468800.

The previous prime is 138463450220119. The next prime is 138463450220171. The reversal of 138463450220160 is 61022054364831.

138463450220160 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 63 + 4 + 502 + 20 + 1 + 60 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 442375240164 + ... + 442375240476.

Almost surely, 2^{138463450220160} is an apocalyptic number.

138463450220160 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 138463450220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289614670974720).

138463450220160 is an abundant number, since it is smaller than the sum of its proper divisors (440765891729280).

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

138463450220160 is a wasteful number, since it uses less digits than its factorization.

138463450220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 138463450220160 in words is "one hundred thirty-eight trillion, four hundred sixty-three billion, four hundred fifty million, two hundred twenty thousand, one hundred sixty".