4955153616 has 400 divisors, whose sum is σ = 17068550400. Its totient is φ = 1386927360.

The previous prime is 4955153597. The next prime is 4955153617. The reversal of 4955153616 is 6163515594.

4955153616 is a `hidden beast` number, since 4 + 95 + 515 + 36 + 16 = 666.

Its product of digits (486000) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4955153617) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31561410 + ... + 31561566.

It is an arithmetic number, because the mean of its divisors is an integer number (42671376).

Almost surely, 2^4955153616 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 4955153616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534275200).

4955153616 is an abundant number, since it is smaller than the sum of its proper divisors (12113396784).

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

4955153616 is a wasteful number, since it uses less digits than its factorization.

4955153616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 4955153616 is about 70392.8520234832. The cubic root of 4955153616 is about 1704.8481693013.

The spelling of 4955153616 in words is "four billion, nine hundred fifty-five million, one hundred fifty-three thousand, six hundred sixteen".