151323386647680 has 3072 divisors, whose sum is σ = 624969934848000. Its totient is φ = 34521956352000.

The previous prime is 151323386647619. The next prime is 151323386647729. The reversal of 151323386647680 is 86746683323151.

151323386647680 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 2 + 3 + 3 + 86 + 6 + 476 + 80 = 666.

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 383 ways as a sum of consecutive naturals, for example, 218991876135 + ... + 218991876825.

It is an arithmetic number, because the mean of its divisors is an integer number (203440734000).

Almost surely, 2^{151323386647680} is an apocalyptic number.

151323386647680 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 151323386647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312484967424000).

151323386647680 is an abundant number, since it is smaller than the sum of its proper divisors (473646548200320).

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

151323386647680 is a wasteful number, since it uses less digits than its factorization.

151323386647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 151323386647680 in words is "one hundred fifty-one trillion, three hundred twenty-three billion, three hundred eighty-six million, six hundred forty-seven thousand, six hundred eighty".