4998117600 has 648 divisors, whose sum is σ = 21209767488. Its totient is φ = 1103155200.

The previous prime is 4998117581. The next prime is 4998117601. The reversal of 4998117600 is 67118994.

It is a happy number.

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 (4998117601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10936572 + ... + 10937028.

Almost surely, 2^4998117600 is an apocalyptic number.

4998117600 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 4998117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604883744).

4998117600 is an abundant number, since it is smaller than the sum of its proper divisors (16211649888).

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

4998117600 is a wasteful number, since it uses less digits than its factorization.

4998117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 4998117600 is about 70697.3662875782. The cubic root of 4998117600 is about 1709.7613291599.

The spelling of 4998117600 in words is "four billion, nine hundred ninety-eight million, one hundred seventeen thousand, six hundred".