149007462912 has 1440 divisors, whose sum is σ = 608528194560. Its totient is φ = 33940684800.

The previous prime is 149007462887. The next prime is 149007462913. The reversal of 149007462912 is 219264700941.

149007462912 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 0 + 7 + 4 + 629 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (149007462913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4806692337 + ... + 4806692367.

It is an arithmetic number, because the mean of its divisors is an integer number (422589024).

Almost surely, 2^149007462912 is an apocalyptic number.

149007462912 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 149007462912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304264097280).

149007462912 is an abundant number, since it is smaller than the sum of its proper divisors (459520731648).

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

149007462912 is a wasteful number, since it uses less digits than its factorization.

149007462912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149007462912 in words is "one hundred forty-nine billion, seven million, four hundred sixty-two thousand, nine hundred twelve".