4749459813000 has 1536 divisors, whose sum is σ = 20234178432000. Its totient is φ = 1009218355200.

The previous prime is 4749459812989. The next prime is 4749459813023. The reversal of 4749459813000 is 3189549474.

4749459813000 is a `hidden beast` number, since 4 + 7 + 49 + 4 + 598 + 1 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4861268512 + ... + 4861269488.

It is an arithmetic number, because the mean of its divisors is an integer number (13173293250).

Almost surely, 2^{4749459813000} is an apocalyptic number.

4749459813000 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 4749459813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117089216000).

4749459813000 is an abundant number, since it is smaller than the sum of its proper divisors (15484718619000).

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

4749459813000 is a wasteful number, since it uses less digits than its factorization.

4749459813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4749459813000 in words is "four trillion, seven hundred forty-nine billion, four hundred fifty-nine million, eight hundred thirteen thousand".