150191863014960 has 480 divisors, whose sum is σ = 550130233161600. Its totient is φ = 36499471810560.

The previous prime is 150191863014901. The next prime is 150191863014961. The reversal of 150191863014960 is 69410368191051.

150191863014960 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 91 + 8 + 63 + 0 + 1 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150191863014897 and 150191863014906.

It is not an unprimeable number, because it can be changed into a prime (150191863014961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 550503061 + ... + 550775819.

It is an arithmetic number, because the mean of its divisors is an integer number (1146104652420).

Almost surely, 2^{150191863014960} is an apocalyptic number.

150191863014960 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 150191863014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275065116580800).

150191863014960 is an abundant number, since it is smaller than the sum of its proper divisors (399938370146640).

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

150191863014960 is a wasteful number, since it uses less digits than its factorization.

150191863014960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273541 (or 273532 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 150191863014960 in words is "one hundred fifty trillion, one hundred ninety-one billion, eight hundred sixty-three million, fourteen thousand, nine hundred sixty".