4253709631248 has 480 divisors, whose sum is σ = 15148561858560. Its totient is φ = 1082256215040.

The previous prime is 4253709631229. The next prime is 4253709631261. The reversal of 4253709631248 is 8421369073524.

4253709631248 is a `hidden beast` number, since 4 + 2 + 537 + 0 + 9 + 63 + 1 + 2 + 48 = 666.

It is a super-2 number, since 2×4253709631248² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4253709631194 and 4253709631203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111226786 + ... + 111265022.

It is an arithmetic number, because the mean of its divisors is an integer number (31559503872).

It is a 1-persistent number, because it is pandigital, but 2⋅4253709631248 = 8507419262496 is not.

Almost surely, 2^{4253709631248} is an apocalyptic number.

4253709631248 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 4253709631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574280929280).

4253709631248 is an abundant number, since it is smaller than the sum of its proper divisors (10894852227312).

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

4253709631248 is a wasteful number, since it uses less digits than its factorization.

4253709631248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38475 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4253709631248 in words is "four trillion, two hundred fifty-three billion, seven hundred nine million, six hundred thirty-one thousand, two hundred forty-eight".