150804374206464 has 1536 divisors, whose sum is σ = 531675301248000. Its totient is φ = 41736889958400.

The previous prime is 150804374206457. The next prime is 150804374206531. The reversal of 150804374206464 is 464602473408051.

150804374206464 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 0 + 4 + 374 + 206 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a self number, because there is not a number n which added to its sum of digits gives 150804374206464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48319246824 + ... + 48319249944.

It is an arithmetic number, because the mean of its divisors is an integer number (346142774250).

Almost surely, 2^{150804374206464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150804374206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265837650624000).

150804374206464 is an abundant number, since it is smaller than the sum of its proper divisors (380870927041536).

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

150804374206464 is a wasteful number, since it uses less digits than its factorization.

150804374206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 150804374206464 in words is "one hundred fifty trillion, eight hundred four billion, three hundred seventy-four million, two hundred six thousand, four hundred sixty-four".