149585706816 has 224 divisors, whose sum is σ = 487446693888. Its totient is φ = 39424112640.

The previous prime is 149585706769. The next prime is 149585706839. The reversal of 149585706816 is 618607585941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 149585706816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46875781 + ... + 46878971.

It is an arithmetic number, because the mean of its divisors is an integer number (2176101312).

Almost surely, 2^149585706816 is an apocalyptic number.

149585706816 is a gapful number since it is divisible by the number (16) 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 149585706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243723346944).

149585706816 is an abundant number, since it is smaller than the sum of its proper divisors (337860987072).

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

149585706816 is a wasteful number, since it uses less digits than its factorization.

149585706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 149585706816 in words is "one hundred forty-nine billion, five hundred eighty-five million, seven hundred six thousand, eight hundred sixteen".