150480063111168 has 2688 divisors, whose sum is σ = 578716216565760. Its totient is φ = 38062616739840.

The previous prime is 150480063111143. The next prime is 150480063111173. The reversal of 150480063111168 is 861111360084051.

150480063111168 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 8 + 0 + 0 + 631 + 1 + 1 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×150480063111168² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386838208318 + ... + 386838208706.

It is an arithmetic number, because the mean of its divisors is an integer number (215296211520).

Almost surely, 2^{150480063111168} is an apocalyptic number.

150480063111168 is a gapful number since it is divisible by the number (18) 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 150480063111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289358108282880).

150480063111168 is an abundant number, since it is smaller than the sum of its proper divisors (428236153454592).

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

150480063111168 is an equidigital number, since it uses as much as digits as its factorization.

150480063111168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 150480063111168 in words is "one hundred fifty trillion, four hundred eighty billion, sixty-three million, one hundred eleven thousand, one hundred sixty-eight".