150449359008400 has 45 divisors (see below), whose sum is σ = 361455174389371. Its totient is φ = 60179645477120.

The previous prime is 150449359008379. The next prime is 150449359008433. The reversal of 150449359008400 is 4800953944051.

The square root of 150449359008400 is 12265780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1679232405904 + 148770126602496 = 1295852^2 + 12197136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245008956 + ... + 245622244.

Almost surely, 2^{150449359008400} is an apocalyptic number.

150449359008400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150449359008400 is the 12265780-th square number.

It is an amenable number.

150449359008400 is an abundant number, since it is smaller than the sum of its proper divisors (211005815380971).

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

150449359008400 is an frugal number, since it uses more digits than its factorization.

150449359008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226596 (or 613296 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 150449359008400 in words is "one hundred fifty trillion, four hundred forty-nine billion, three hundred fifty-nine million, eight thousand, four hundred".