45123113514352 has 160 divisors (see below), whose sum is σ = 94078314316800. Its totient is φ = 20911135094784.

The previous prime is 45123113514307. The next prime is 45123113514359. The reversal of 45123113514352 is 25341531132154.

It is a super-2 number, since 2×45123113514352² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123113514359) 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, 3401147623 + ... + 3401160889.

It is an arithmetic number, because the mean of its divisors is an integer number (587989464480).

Almost surely, 2^{45123113514352} 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 45123113514352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47039157158400).

45123113514352 is an abundant number, since it is smaller than the sum of its proper divisors (48955200802448).

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

45123113514352 is a wasteful number, since it uses less digits than its factorization.

45123113514352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14343 (or 14337 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The spelling of 45123113514352 in words is "forty-five trillion, one hundred twenty-three billion, one hundred thirteen million, five hundred fourteen thousand, three hundred fifty-two".