4737148416 has 720 divisors, whose sum is σ = 18690946560. Its totient is φ = 1121402880.

The previous prime is 4737148411. The next prime is 4737148433. The reversal of 4737148416 is 6148417374.

It is a super-2 number, since 2×4737148416² = 44881150230422618112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (451584) is a multiple of the sum of its prime factors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4737148411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59963865 + ... + 59963943.

It is an arithmetic number, because the mean of its divisors is an integer number (25959648).

Almost surely, 2^4737148416 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 4737148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9345473280).

4737148416 is an abundant number, since it is smaller than the sum of its proper divisors (13953798144).

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

4737148416 is a wasteful number, since it uses less digits than its factorization.

4737148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 4737148416 is about 68826.9454211067. The cubic root of 4737148416 is about 1679.4703092007.

The spelling of 4737148416 in words is "four billion, seven hundred thirty-seven million, one hundred forty-eight thousand, four hundred sixteen".