45605624511040 has 224 divisors, whose sum is σ = 122695218322560. Its totient is φ = 15993840844800.

The previous prime is 45605624511019. The next prime is 45605624511047. The reversal of 45605624511040 is 4011542650654.

It is not an unprimeable number, because it can be changed into a prime (45605624511047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89883660 + ... + 90389620.

Almost surely, 2^{45605624511040} is an apocalyptic number.

45605624511040 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 45605624511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61347609161280).

45605624511040 is an abundant number, since it is smaller than the sum of its proper divisors (77089593811520).

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

45605624511040 is a wasteful number, since it uses less digits than its factorization.

45605624511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506901 (or 506891 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 45605624511040 in words is "forty-five trillion, six hundred five billion, six hundred twenty-four million, five hundred eleven thousand, forty".