150440564561056 has 192 divisors, whose sum is σ = 375900636819456. Its totient is φ = 57562636262400.

The previous prime is 150440564560969. The next prime is 150440564561137. The reversal of 150440564561056 is 650165465044051.

It is a junction number, because it is equal to n+sod(n) for n = 150440564560994 and 150440564561012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95867161 + ... + 97423783.

It is an arithmetic number, because the mean of its divisors is an integer number (1957815816768).

Almost surely, 2^{150440564561056} is an apocalyptic number.

150440564561056 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 150440564561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187950318409728).

150440564561056 is an abundant number, since it is smaller than the sum of its proper divisors (225460072258400).

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

150440564561056 is a wasteful number, since it uses less digits than its factorization.

150440564561056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557355 (or 1557347 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 52.

The spelling of 150440564561056 in words is "one hundred fifty trillion, four hundred forty billion, five hundred sixty-four million, five hundred sixty-one thousand, fifty-six".