149850980352 has 384 divisors, whose sum is σ = 459973912320. Its totient is φ = 46926397440.

The previous prime is 149850980291. The next prime is 149850980369. The reversal of 149850980352 is 253089058941.

149850980352 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 509 + 80 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338263843 + ... + 338264285.

It is an arithmetic number, because the mean of its divisors is an integer number (1197848730).

Almost surely, 2^149850980352 is an apocalyptic number.

149850980352 is a gapful number since it is divisible by the number (12) 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 149850980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229986956160).

149850980352 is an abundant number, since it is smaller than the sum of its proper divisors (310122931968).

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

149850980352 is an equidigital number, since it uses as much as digits as its factorization.

149850980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 149850980352 in words is "one hundred forty-nine billion, eight hundred fifty million, nine hundred eighty thousand, three hundred fifty-two".