149233001481216 has 363 divisors, whose sum is σ = 447762893013703. Its totient is φ = 49712669706240.

The previous prime is 149233001481169. The next prime is 149233001481217. The reversal of 149233001481216 is 612184100332941.

The square root of 149233001481216 is 12216096.

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

149233001481216 is a `hidden beast` number, since 1 + 4 + 92 + 3 + 300 + 1 + 48 + 1 + 216 = 666.

It is a super-3 number, since 3×149233001481216³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149233001481217) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 94992361711 + ... + 94992363281.

Almost surely, 2^{149233001481216} is an apocalyptic number.

149233001481216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149233001481216 is the 12216096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149233001481216

149233001481216 is an abundant number, since it is smaller than the sum of its proper divisors (298529891532487).

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

149233001481216 is an frugal number, since it uses more digits than its factorization.

149233001481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 149233001481216 in words is "one hundred forty-nine trillion, two hundred thirty-three billion, one million, four hundred eighty-one thousand, two hundred sixteen".