4178149248 has 768 divisors, whose sum is σ = 15628032000. Its totient is φ = 975421440.

The previous prime is 4178149247. The next prime is 4178149291. The reversal of 4178149248 is 8429418714.

4178149248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4178149248² = 34913862277125931008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4178149197 and 4178149206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4178149247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134778993 + ... + 134779023.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^4178149248 is an apocalyptic number.

4178149248 is a gapful number since it is divisible by the number (48) 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 4178149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

4178149248 is an abundant number, since it is smaller than the sum of its proper divisors (11449882752).

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

4178149248 is a wasteful number, since it uses less digits than its factorization.

4178149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 4178149248 is about 64638.6049354409. The cubic root of 4178149248 is about 1610.6257932749.

The spelling of 4178149248 in words is "four billion, one hundred seventy-eight million, one hundred forty-nine thousand, two hundred forty-eight".