149649613344 has 1152 divisors, whose sum is σ = 606955991040. Its totient is φ = 34926059520.

The previous prime is 149649613331. The next prime is 149649613423. The reversal of 149649613344 is 443316946941.

149649613344 is a `hidden beast` number, since 14 + 9 + 6 + 4 + 9 + 613 + 3 + 4 + 4 = 666.

149649613344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286136667 + ... + 286137189.

It is an arithmetic number, because the mean of its divisors is an integer number (526871520).

Almost surely, 2^149649613344 is an apocalyptic number.

149649613344 is a gapful number since it is divisible by the number (14) 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 149649613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303477995520).

149649613344 is an abundant number, since it is smaller than the sum of its proper divisors (457306377696).

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

149649613344 is a wasteful number, since it uses less digits than its factorization.

149649613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 586 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 149649613344 in words is "one hundred forty-nine billion, six hundred forty-nine million, six hundred thirteen thousand, three hundred forty-four".