150414661207296 has 720 divisors, whose sum is σ = 492193967181840. Its totient is φ = 45475819683840.

The previous prime is 150414661207289. The next prime is 150414661207337. The reversal of 150414661207296 is 692702166414051.

150414661207296 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 1 + 466 + 1 + 20 + 72 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2725668921600 + 147688992285696 = 1650960^2 + 12152736^2 .

It is a super-2 number, since 2×150414661207296² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5530547170 + ... + 5530574366.

It is an arithmetic number, because the mean of its divisors is an integer number (683602732197).

Almost surely, 2^{150414661207296} is an apocalyptic number.

150414661207296 is a gapful number since it is divisible by the number (16) 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 150414661207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246096983590920).

150414661207296 is an abundant number, since it is smaller than the sum of its proper divisors (341779305974544).

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

150414661207296 is a wasteful number, since it uses less digits than its factorization.

150414661207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 150414661207296 in words is "one hundred fifty trillion, four hundred fourteen billion, six hundred sixty-one million, two hundred seven thousand, two hundred ninety-six".