45830472223536 has 3840 divisors, whose sum is σ = 192369527562240. Its totient is φ = 10384057958400.

The previous prime is 45830472223531. The next prime is 45830472223573. The reversal of 45830472223536 is 63532227403854.

45830472223536 is a `hidden beast` number, since 4 + 5 + 8 + 30 + 4 + 72 + 2 + 2 + 3 + 536 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45830472223531) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 472479095040 + ... + 472479095136.

It is an arithmetic number, because the mean of its divisors is an integer number (50096231136).

Almost surely, 2^{45830472223536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45830472223536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96184763781120).

45830472223536 is an abundant number, since it is smaller than the sum of its proper divisors (146539055338704).

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

45830472223536 is a wasteful number, since it uses less digits than its factorization.

45830472223536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 45830472223536 in words is "forty-five trillion, eight hundred thirty billion, four hundred seventy-two million, two hundred twenty-three thousand, five hundred thirty-six".