4997145600 has 594 divisors, whose sum is σ = 19160079666. Its totient is φ = 1243545600.

The previous prime is 4997145599. The next prime is 4997145607. The reversal of 4997145600 is 65417994.

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 4992270336 = 2208^2 + 70656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4997145607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 121881580 + ... + 121881620.

Almost surely, 2^4997145600 is an apocalyptic number.

4997145600 is a gapful number since it is divisible by the number (40) 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 4997145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580039833).

4997145600 is an abundant number, since it is smaller than the sum of its proper divisors (14162934066).

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

4997145600 is a wasteful number, since it uses less digits than its factorization.

4997145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4997145600 is about 70690.4915812586. The cubic root of 4997145600 is about 1709.6504877134.

The spelling of 4997145600 in words is "four billion, nine hundred ninety-seven million, one hundred forty-five thousand, six hundred".