4978281100464 has 240 divisors, whose sum is σ = 16862872945152. Its totient is φ = 1340217280512.

The previous prime is 4978281100337. The next prime is 4978281100477. The reversal of 4978281100464 is 4640011828794.

4978281100464 is a `hidden beast` number, since 4 + 9 + 78 + 2 + 8 + 1 + 100 + 464 = 666.

It is a super-2 number, since 2×4978281100464² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4978281100464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49129 + ... + 3155784.

Almost surely, 2^{4978281100464} 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 4978281100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431436472576).

4978281100464 is an abundant number, since it is smaller than the sum of its proper divisors (11884591844688).

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

4978281100464 is a wasteful number, since it uses less digits than its factorization.

4978281100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205024 (or 3205015 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4978281100464 in words is "four trillion, nine hundred seventy-eight billion, two hundred eighty-one million, one hundred thousand, four hundred sixty-four".