51044148144 has 360 divisors, whose sum is σ = 164491471872. Its totient is φ = 14758128000.

The previous prime is 51044148139. The next prime is 51044148157. The reversal of 51044148144 is 44184144015.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51044148099 and 51044148108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 718931629 + ... + 718931699.

Almost surely, 2^51044148144 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 51044148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82245735936).

51044148144 is an abundant number, since it is smaller than the sum of its proper divisors (113447323728).

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

51044148144 is an equidigital number, since it uses as much as digits as its factorization.

51044148144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 51044148144 in words is "fifty-one billion, forty-four million, one hundred forty-eight thousand, one hundred forty-four".