48990150144 has 720 divisors, whose sum is σ = 168613020576. Its totient is φ = 13576273920.

The previous prime is 48990150133. The next prime is 48990150179. The reversal of 48990150144 is 44105109984.

It is a happy number.

48990150144 is a `hidden beast` number, since 489 + 9 + 0 + 150 + 14 + 4 = 666.

It is a super-2 number, since 2×48990150144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48990150144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1324058094 + ... + 1324058130.

Almost surely, 2^48990150144 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 48990150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84306510288).

48990150144 is an abundant number, since it is smaller than the sum of its proper divisors (119622870432).

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

48990150144 is a wasteful number, since it uses less digits than its factorization.

48990150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 489901 and 50144, that added together give a palindrome (540045).

The spelling of 48990150144 in words is "forty-eight billion, nine hundred ninety million, one hundred fifty thousand, one hundred forty-four".