149116916003328 has 1920 divisors, whose sum is σ = 562750205681664. Its totient is φ = 38375866368000.

The previous prime is 149116916003327. The next prime is 149116916003329. The reversal of 149116916003328 is 823300619611941.

149116916003328 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 1 + 6 + 9 + 1 + 600 + 3 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (149116916003327) and next prime (149116916003329).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149116916003327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82796732028 + ... + 82796733828.

Almost surely, 2^{149116916003328} is an apocalyptic number.

149116916003328 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 149116916003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281375102840832).

149116916003328 is an abundant number, since it is smaller than the sum of its proper divisors (413633289678336).

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

149116916003328 is a wasteful number, since it uses less digits than its factorization.

149116916003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 149116916003328 in words is "one hundred forty-nine trillion, one hundred sixteen billion, nine hundred sixteen million, three thousand, three hundred twenty-eight".