4724557249104 has 360 divisors, whose sum is σ = 16872978676320. Its totient is φ = 1220298508800.

The previous prime is 4724557249103. The next prime is 4724557249121. The reversal of 4724557249104 is 4019427554274.

It is a happy number.

4724557249104 is a `hidden beast` number, since 4 + 7 + 24 + 5 + 572 + 49 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×4724557249104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4724557249103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13723234 + ... + 14063294.

It is an arithmetic number, because the mean of its divisors is an integer number (46869385212).

Almost surely, 2^{4724557249104} is an apocalyptic number.

4724557249104 is a gapful number since it is divisible by the number (44) 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 4724557249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436489338160).

4724557249104 is an abundant number, since it is smaller than the sum of its proper divisors (12148421427216).

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

4724557249104 is a wasteful number, since it uses less digits than its factorization.

4724557249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340279 (or 340263 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 4724557249104 in words is "four trillion, seven hundred twenty-four billion, five hundred fifty-seven million, two hundred forty-nine thousand, one hundred four".