150894284800000 has 2304 divisors, whose sum is σ = 488501439375600. Its totient is φ = 46242201600000.

The previous prime is 150894284799997. The next prime is 150894284800009. The reversal of 150894284800000 is 8482498051.

It can be written as a sum of positive squares in 24 ways, for example, as 138677190672384 + 12217094127616 = 11776128^2 + 3495296^2 .

It is a super-2 number, since 2×150894284800000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (150894284800009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2473676799970 + ... + 2473676800030.

Almost surely, 2^{150894284800000} is an apocalyptic number.

150894284800000 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 150894284800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244250719687800).

150894284800000 is an abundant number, since it is smaller than the sum of its proper divisors (337607154575600).

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

150894284800000 is an frugal number, since it uses more digits than its factorization.

150894284800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 150894284800000 in words is "one hundred fifty trillion, eight hundred ninety-four billion, two hundred eighty-four million, eight hundred thousand".