149362333306560 has 672 divisors, whose sum is σ = 565853900040000. Its totient is φ = 35860115128320.

The previous prime is 149362333306519. The next prime is 149362333306561. The reversal of 149362333306560 is 65603333263941.

It is a happy number.

149362333306560 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 623 + 3 + 3 + 3 + 0 + 6 + 5 + 6 + 0 = 666.

149362333306560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149362333306560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149362333306497 and 149362333306506.

It is not an unprimeable number, because it can be changed into a prime (149362333306561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8415244566 + ... + 8415262314.

Almost surely, 2^{149362333306560} is an apocalyptic number.

149362333306560 is a gapful number since it is divisible by the number (10) 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 149362333306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282926950020000).

149362333306560 is an abundant number, since it is smaller than the sum of its proper divisors (416491566733440).

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

149362333306560 is a wasteful number, since it uses less digits than its factorization.

149362333306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20329 (or 20316 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 54.

The spelling of 149362333306560 in words is "one hundred forty-nine trillion, three hundred sixty-two billion, three hundred thirty-three million, three hundred six thousand, five hundred sixty".