4946977152 has 480 divisors, whose sum is σ = 16974693120. Its totient is φ = 1421328384.

The previous prime is 4946977127. The next prime is 4946977153. The reversal of 4946977152 is 2517796494.

It is a super-2 number, since 2×4946977152² = 48945165884820062208, which contains 22 as substring.

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

Its product of digits (3810240) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946977153) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38952513 + ... + 38952639.

It is an arithmetic number, because the mean of its divisors is an integer number (35363944).

Almost surely, 2^4946977152 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 4946977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487346560).

4946977152 is an abundant number, since it is smaller than the sum of its proper divisors (12027715968).

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

4946977152 is a wasteful number, since it uses less digits than its factorization.

4946977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 4946977152 is about 70334.7506713431. The cubic root of 4946977152 is about 1703.9099337438.

It can be divided in two parts, 49469 and 77152, that added together give a palindrome (126621).

The spelling of 4946977152 in words is "four billion, nine hundred forty-six million, nine hundred seventy-seven thousand, one hundred fifty-two".