45283829760 has 768 divisors, whose sum is σ = 177989011200. Its totient is φ = 10850402304.

The previous prime is 45283829753. The next prime is 45283829771. The reversal of 45283829760 is 6792838254.

45283829760 is a `hidden beast` number, since 4 + 528 + 38 + 29 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 45283829697 and 45283829706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154552174 + ... + 154552466.

It is an arithmetic number, because the mean of its divisors is an integer number (231756525).

Almost surely, 2^45283829760 is an apocalyptic number.

45283829760 is a gapful number since it is divisible by the number (40) 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 45283829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88994505600).

45283829760 is an abundant number, since it is smaller than the sum of its proper divisors (132705181440).

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

45283829760 is a wasteful number, since it uses less digits than its factorization.

45283829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45283829760 in words is "forty-five billion, two hundred eighty-three million, eight hundred twenty-nine thousand, seven hundred sixty".