45853429248 has 480 divisors, whose sum is σ = 154430115840. Its totient is φ = 12943687680.

The previous prime is 45853429241. The next prime is 45853429261. The reversal of 45853429248 is 84292435854.

45853429248 is a `hidden beast` number, since 4 + 58 + 5 + 342 + 9 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45853429194 and 45853429203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45853429241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109435183 + ... + 109435601.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^45853429248 is an apocalyptic number.

45853429248 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 45853429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77215057920).

45853429248 is an abundant number, since it is smaller than the sum of its proper divisors (108576686592).

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

45853429248 is a wasteful number, since it uses less digits than its factorization.

45853429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 45853429248 in words is "forty-five billion, eight hundred fifty-three million, four hundred twenty-nine thousand, two hundred forty-eight".