149217463011600 has 135 divisors (see below), whose sum is σ = 517828589420389. Its totient is φ = 39791128022400.

The previous prime is 149217463011581. The next prime is 149217463011611. The reversal of 149217463011600 is 6110364712941.

The square root of 149217463011600 is 12215460.

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

149217463011600 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 1 + 7 + 4 + 6 + 30 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53718286684176 + 95499176327424 = 7329276^2 + 9772368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 732825805 + ... + 733029395.

Almost surely, 2^{149217463011600} is an apocalyptic number.

149217463011600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149217463011600 is the 12215460-th square number.

It is an amenable number.

149217463011600 is an abundant number, since it is smaller than the sum of its proper divisors (368611126408789).

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

149217463011600 is an frugal number, since it uses more digits than its factorization.

149217463011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407206 (or 203601 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149217463011600 in words is "one hundred forty-nine trillion, two hundred seventeen billion, four hundred sixty-three million, eleven thousand, six hundred".