45613233120 has 1536 divisors, whose sum is σ = 204106936320. Its totient is φ = 8281128960.

The previous prime is 45613233119. The next prime is 45613233143. The reversal of 45613233120 is 2133231654.

45613233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 747757890 + ... + 747757950.

It is an arithmetic number, because the mean of its divisors is an integer number (132882120).

Almost surely, 2^45613233120 is an apocalyptic number.

45613233120 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 45613233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102053468160).

45613233120 is an abundant number, since it is smaller than the sum of its proper divisors (158493703200).

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

45613233120 is a wasteful number, since it uses less digits than its factorization.

45613233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 45613233120 its reverse (2133231654), we get a palindrome (47746464774).

The spelling of 45613233120 in words is "forty-five billion, six hundred thirteen million, two hundred thirty-three thousand, one hundred twenty".