149360216544 has 768 divisors, whose sum is σ = 562028544000. Its totient is φ = 37466634240.

The previous prime is 149360216543. The next prime is 149360216567. The reversal of 149360216544 is 445612063941.

149360216544 is a `hidden beast` number, since 1 + 4 + 93 + 6 + 0 + 2 + 16 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 149360216544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149360216543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311816497 + ... + 311816975.

It is an arithmetic number, because the mean of its divisors is an integer number (731808000).

Almost surely, 2^149360216544 is an apocalyptic number.

149360216544 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 149360216544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281014272000).

149360216544 is an abundant number, since it is smaller than the sum of its proper divisors (412668327456).

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

149360216544 is a wasteful number, since it uses less digits than its factorization.

149360216544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 149360216544 in words is "one hundred forty-nine billion, three hundred sixty million, two hundred sixteen thousand, five hundred forty-four".