45120505046556 has 96 divisors (see below), whose sum is σ = 109276671329280. Its totient is φ = 14472873676800.

The previous prime is 45120505046531. The next prime is 45120505046587. The reversal of 45120505046556 is 65564050502154.

45120505046556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45120505046556² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935174025 + ... + 935222271.

It is an arithmetic number, because the mean of its divisors is an integer number (1138298659680).

Almost surely, 2^{45120505046556} 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 45120505046556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54638335664640).

45120505046556 is an abundant number, since it is smaller than the sum of its proper divisors (64156166282724).

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

45120505046556 is a wasteful number, since it uses less digits than its factorization.

45120505046556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57235 (or 57233 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 48.

The spelling of 45120505046556 in words is "forty-five trillion, one hundred twenty billion, five hundred five million, forty-six thousand, five hundred fifty-six".