150581841874464 has 3072 divisors, whose sum is σ = 600859607040000. Its totient is φ = 31729065984000.

The previous prime is 150581841874411. The next prime is 150581841874561. The reversal of 150581841874464 is 464478148185051.

It is a super-2 number, since 2×150581841874464² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 150581841874395 and 150581841874404.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 326641739194 + ... + 326641739654.

It is an arithmetic number, because the mean of its divisors is an integer number (195592320000).

Almost surely, 2^{150581841874464} is an apocalyptic number.

150581841874464 is a gapful number since it is divisible by the number (14) 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 150581841874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300429803520000).

150581841874464 is an abundant number, since it is smaller than the sum of its proper divisors (450277765165536).

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

150581841874464 is a wasteful number, since it uses less digits than its factorization.

150581841874464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 66.

The spelling of 150581841874464 in words is "one hundred fifty trillion, five hundred eighty-one billion, eight hundred forty-one million, eight hundred seventy-four thousand, four hundred sixty-four".