149504430768 has 600 divisors, whose sum is σ = 505548142848. Its totient is φ = 38031840000.

The previous prime is 149504430749. The next prime is 149504430787. The reversal of 149504430768 is 867034405941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149504430749) and next prime (149504430787).

It is a self number, because there is not a number n which added to its sum of digits gives 149504430768.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 990095493 + ... + 990095643.

Almost surely, 2^149504430768 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 149504430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252774071424).

149504430768 is an abundant number, since it is smaller than the sum of its proper divisors (356043712080).

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

149504430768 is a wasteful number, since it uses less digits than its factorization.

149504430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 149504430768 in words is "one hundred forty-nine billion, five hundred four million, four hundred thirty thousand, seven hundred sixty-eight".