16148341440 has 1568 divisors, whose sum is σ = 76756930560. Its totient is φ = 3135283200.

The previous prime is 16148341439. The next prime is 16148341499. The reversal of 16148341440 is 4414384161.

It is a happy number.

16148341440 is a `hidden beast` number, since 1 + 614 + 8 + 34 + 1 + 4 + 4 + 0 = 666.

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 = 16148341395 and 16148341404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 520914225 + ... + 520914255.

Almost surely, 2^16148341440 is an apocalyptic number.

16148341440 is a gapful number since it is divisible by the number (10) 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 16148341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38378465280).

16148341440 is an abundant number, since it is smaller than the sum of its proper divisors (60608589120).

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

16148341440 is a wasteful number, since it uses less digits than its factorization.

16148341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 16148341440 in words is "sixteen billion, one hundred forty-eight million, three hundred forty-one thousand, four hundred forty".