4854950100 has 864 divisors, whose sum is σ = 21702110976. Its totient is φ = 873676800.

The previous prime is 4854950099. The next prime is 4854950137. The reversal of 4854950100 is 10594584.

4854950100 is a `hidden beast` number, since 4 + 8 + 549 + 5 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15315142 + ... + 15315458.

It is an arithmetic number, because the mean of its divisors is an integer number (25118184).

Almost surely, 2^4854950100 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 4854950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10851055488).

4854950100 is an abundant number, since it is smaller than the sum of its proper divisors (16847160876).

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

4854950100 is a wasteful number, since it uses less digits than its factorization.

4854950100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4854950100 is about 69677.4719690662. The cubic root of 4854950100 is about 1693.2779649816.

The spelling of 4854950100 in words is "four billion, eight hundred fifty-four million, nine hundred fifty thousand, one hundred".