149186594816 has 288 divisors, whose sum is σ = 370418401080. Its totient is φ = 59685470208.

The previous prime is 149186594813. The next prime is 149186594849. The reversal of 149186594816 is 618495681941.

It can be written as a sum of positive squares in 4 ways, for example, as 102461449216 + 46725145600 = 320096^2 + 216160^2 .

It is not an unprimeable number, because it can be changed into a prime (149186594813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267839210 + ... + 267839766.

Almost surely, 2^149186594816 is an apocalyptic number.

149186594816 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 149186594816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185209200540).

149186594816 is an abundant number, since it is smaller than the sum of its proper divisors (221231806264).

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

149186594816 is a wasteful number, since it uses less digits than its factorization.

149186594816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 740 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 62.

The spelling of 149186594816 in words is "one hundred forty-nine billion, one hundred eighty-six million, five hundred ninety-four thousand, eight hundred sixteen".