45145614410520 has 192 divisors, whose sum is σ = 146665956096000. Its totient is φ = 11112047331840.

The previous prime is 45145614410503. The next prime is 45145614410527. The reversal of 45145614410520 is 2501441654154.

It is a super-3 number, since 3×45145614410520³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45145614410527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356844475 + ... + 356970965.

It is an arithmetic number, because the mean of its divisors is an integer number (763885188000).

Almost surely, 2^{45145614410520} is an apocalyptic number.

45145614410520 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 45145614410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73332978048000).

45145614410520 is an abundant number, since it is smaller than the sum of its proper divisors (101520341685480).

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

45145614410520 is a wasteful number, since it uses less digits than its factorization.

45145614410520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144130 (or 144113 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 45145614410520 in words is "forty-five trillion, one hundred forty-five billion, six hundred fourteen million, four hundred ten thousand, five hundred twenty".