150880949856 has 960 divisors, whose sum is σ = 581523909120. Its totient is φ = 37265080320.

The previous prime is 150880949851. The next prime is 150880949897. The reversal of 150880949856 is 658949088051.

150880949856 is a `hidden beast` number, since 1 + 508 + 8 + 0 + 9 + 49 + 85 + 6 = 666.

It is a super-2 number, since 2×150880949856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 150880949793 and 150880949802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150880949851) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 587085280 + ... + 587085536.

It is an arithmetic number, because the mean of its divisors is an integer number (605754072).

Almost surely, 2^150880949856 is an apocalyptic number.

150880949856 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 150880949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290761954560).

150880949856 is an abundant number, since it is smaller than the sum of its proper divisors (430642959264).

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

150880949856 is a wasteful number, since it uses less digits than its factorization.

150880949856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 150880949856 in words is "one hundred fifty billion, eight hundred eighty million, nine hundred forty-nine thousand, eight hundred fifty-six".