149500014768 has 320 divisors, whose sum is σ = 472003123200. Its totient is φ = 45294163200.

The previous prime is 149500014749. The next prime is 149500014791. The reversal of 149500014768 is 867410005941.

149500014768 is a `hidden beast` number, since 1 + 49 + 500 + 0 + 1 + 47 + 68 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63588793 + ... + 63591143.

It is an arithmetic number, because the mean of its divisors is an integer number (1475009760).

Almost surely, 2^149500014768 is an apocalyptic number.

149500014768 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 149500014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236001561600).

149500014768 is an abundant number, since it is smaller than the sum of its proper divisors (322503108432).

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

149500014768 is a wasteful number, since it uses less digits than its factorization.

149500014768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 149500014768 in words is "one hundred forty-nine billion, five hundred million, fourteen thousand, seven hundred sixty-eight".