149646568500 has 1296 divisors, whose sum is σ = 600292339920. Its totient is φ = 32332608000.

The previous prime is 149646568451. The next prime is 149646568501. The reversal of 149646568500 is 5865646941.

149646568500 is a `hidden beast` number, since 1 + 4 + 96 + 46 + 5 + 6 + 8 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75310727184 + 74335841316 = 274428^2 + 272646^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149646568501) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5160226486 + ... + 5160226514.

Almost surely, 2^149646568500 is an apocalyptic number.

149646568500 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 149646568500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300146169960).

149646568500 is an abundant number, since it is smaller than the sum of its proper divisors (450645771420).

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

149646568500 is a wasteful number, since it uses less digits than its factorization.

149646568500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 149646568500 in words is "one hundred forty-nine billion, six hundred forty-six million, five hundred sixty-eight thousand, five hundred".