4964191488 has 288 divisors, whose sum is σ = 15761692800. Its totient is φ = 1535606784.

The previous prime is 4964191483. The next prime is 4964191489. The reversal of 4964191488 is 8841914694.

It is a happy number.

4964191488 is a `hidden beast` number, since 496 + 4 + 1 + 9 + 148 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964191483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9752578 + ... + 9753086.

It is an arithmetic number, because the mean of its divisors is an integer number (54728100).

Almost surely, 2^4964191488 is an apocalyptic number.

4964191488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964191488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880846400).

4964191488 is an abundant number, since it is smaller than the sum of its proper divisors (10797501312).

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

4964191488 is a wasteful number, since it uses less digits than its factorization.

4964191488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4964191488 is about 70457.0187277322. The cubic root of 4964191488 is about 1705.8840498117.

The spelling of 4964191488 in words is "four billion, nine hundred sixty-four million, one hundred ninety-one thousand, four hundred eighty-eight".