45229759223040 has 1728 divisors, whose sum is σ = 192375478310400. Its totient is φ = 9845848276992.

The previous prime is 45229759223027. The next prime is 45229759223057. The reversal of 45229759223040 is 4032295792254.

45229759223040 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 9 + 7 + 592 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×45229759223040² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43784858364 + ... + 43784859396.

It is an arithmetic number, because the mean of its divisors is an integer number (111328401800).

Almost surely, 2^{45229759223040} is an apocalyptic number.

45229759223040 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 45229759223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96187739155200).

45229759223040 is an abundant number, since it is smaller than the sum of its proper divisors (147145719087360).

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

45229759223040 is a wasteful number, since it uses less digits than its factorization.

45229759223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 45229759223040 in words is "forty-five trillion, two hundred twenty-nine billion, seven hundred fifty-nine million, two hundred twenty-three thousand, forty".