149431577568 has 576 divisors, whose sum is σ = 520461849600. Its totient is φ = 37297677312.

The previous prime is 149431577567. The next prime is 149431577569. The reversal of 149431577568 is 865775134941.

It is an interprime number because it is at equal distance from previous prime (149431577567) and next prime (149431577569).

It is a super-2 number, since 2×149431577568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149431577567) 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, 154530621 + ... + 154531587.

It is an arithmetic number, because the mean of its divisors is an integer number (903579600).

Almost surely, 2^149431577568 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 149431577568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260230924800).

149431577568 is an abundant number, since it is smaller than the sum of its proper divisors (371030272032).

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

149431577568 is a wasteful number, since it uses less digits than its factorization.

149431577568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1011 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 149431577568 in words is "one hundred forty-nine billion, four hundred thirty-one million, five hundred seventy-seven thousand, five hundred sixty-eight".