149434818624 has 945 divisors, whose sum is σ = 567598139757. Its totient is φ = 38743391232.

The previous prime is 149434818619. The next prime is 149434818641. The reversal of 149434818624 is 426818434941.

The square root of 149434818624 is 386568.

It is a perfect power (a square), and thus also a powerful number.

149434818624 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 3 + 4 + 8 + 1 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22105742400 + 127329076224 = 148680^2 + 356832^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2532793507 + ... + 2532793565.

Almost surely, 2^149434818624 is an apocalyptic number.

149434818624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

149434818624 is the 386568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149434818624

149434818624 is an abundant number, since it is smaller than the sum of its proper divisors (418163321133).

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

149434818624 is an equidigital number, since it uses as much as digits as its factorization.

149434818624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 84 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 149434818624 in words is "one hundred forty-nine billion, four hundred thirty-four million, eight hundred eighteen thousand, six hundred twenty-four".