4961488896 has 832 divisors, whose sum is σ = 19815667200. Its totient is φ = 1189085184.

The previous prime is 4961488877. The next prime is 4961488901. The reversal of 4961488896 is 6988841694.

4961488896 is a `hidden beast` number, since 4 + 9 + 61 + 488 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171085810 + ... + 171085838.

Almost surely, 2^4961488896 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 4961488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907833600).

4961488896 is an abundant number, since it is smaller than the sum of its proper divisors (14854178304).

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

4961488896 is a wasteful number, since it uses less digits than its factorization.

4961488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 4961488896 is about 70437.8371047834. The cubic root of 4961488896 is about 1705.5744226552.

The spelling of 4961488896 in words is "four billion, nine hundred sixty-one million, four hundred eighty-eight thousand, eight hundred ninety-six".