45012400000000 has 396 divisors, whose sum is σ = 115135694956744. Its totient is φ = 17579520000000.

The previous prime is 45012399999997. The next prime is 45012400000003. The reversal of 45012400000000 is 421054.

It is an interprime number because it is at equal distance from previous prime (45012399999997) and next prime (45012400000003).

It is a super-2 number, since 2×45012400000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 45012400000000.

It is not an unprimeable number, because it can be changed into a prime (45012400000003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17199998692 + ... + 17200001308.

Almost surely, 2^{45012400000000} is an apocalyptic number.

45012400000000 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 45012400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57567847478372).

45012400000000 is an abundant number, since it is smaller than the sum of its proper divisors (70123294956744).

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

45012400000000 is an frugal number, since it uses more digits than its factorization.

45012400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 45012400000000 its reverse (421054), we get a palindrome (45012400421054).

The spelling of 45012400000000 in words is "forty-five trillion, twelve billion, four hundred million", and thus it is an aban number.