149851910417344 has 336 divisors, whose sum is σ = 320082782947200. Its totient is φ = 69577085140992.

The previous prime is 149851910417333. The next prime is 149851910417347. The reversal of 149851910417344 is 443714019158941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149851910417347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75951296742 + ... + 75951298714.

It is an arithmetic number, because the mean of its divisors is an integer number (952627330200).

Almost surely, 2^{149851910417344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149851910417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160041391473600).

149851910417344 is an abundant number, since it is smaller than the sum of its proper divisors (170230872529856).

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

149851910417344 is a wasteful number, since it uses less digits than its factorization.

149851910417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 149851910417344 in words is "one hundred forty-nine trillion, eight hundred fifty-one billion, nine hundred ten million, four hundred seventeen thousand, three hundred forty-four".