45412012065420 has 1152 divisors, whose sum is σ = 194961362319360. Its totient is φ = 8240240885760.

The previous prime is 45412012065389. The next prime is 45412012065461. The reversal of 45412012065420 is 2456021021454.

45412012065420 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 20 + 1 + 206 + 5 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2509357812 + ... + 2509375908.

It is an arithmetic number, because the mean of its divisors is an integer number (169237293680).

Almost surely, 2^{45412012065420} 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 45412012065420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97480681159680).

45412012065420 is an abundant number, since it is smaller than the sum of its proper divisors (149549350253940).

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

45412012065420 is a wasteful number, since it uses less digits than its factorization.

45412012065420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18895 (or 18890 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 45412012065420 its reverse (2456021021454), we get a palindrome (47868033086874).

The spelling of 45412012065420 in words is "forty-five trillion, four hundred twelve billion, twelve million, sixty-five thousand, four hundred twenty".