45145501213040 has 80 divisors (see below), whose sum is σ = 106946061264000. Its totient is φ = 17717093462016.

The previous prime is 45145501213039. The next prime is 45145501213051. The reversal of 45145501213040 is 4031210554154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45145501213040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266734361 + ... + 266903559.

It is an arithmetic number, because the mean of its divisors is an integer number (1336825765800).

Almost surely, 2^{45145501213040} is an apocalyptic number.

45145501213040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45145501213040 is an abundant number, since it is smaller than the sum of its proper divisors (61800560050960).

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

45145501213040 is a wasteful number, since it uses less digits than its factorization.

45145501213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232194 (or 232188 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 45145501213040 its reverse (4031210554154), we get a palindrome (49176711767194).

The spelling of 45145501213040 in words is "forty-five trillion, one hundred forty-five billion, five hundred one million, two hundred thirteen thousand, forty".