45648000147456 has 840 divisors, whose sum is σ = 160131748631976. Its totient is φ = 12919410524160.

The previous prime is 45648000147413. The next prime is 45648000147473. The reversal of 45648000147456 is 65474100084654.

45648000147456 is a `hidden beast` number, since 4 + 5 + 6 + 48 + 0 + 0 + 0 + 147 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3478996576 + ... + 3479009696.

Almost surely, 2^{45648000147456} 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 45648000147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80065874315988).

45648000147456 is an abundant number, since it is smaller than the sum of its proper divisors (114483748484520).

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

45648000147456 is a wasteful number, since it uses less digits than its factorization.

45648000147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 45648000147456 in words is "forty-five trillion, six hundred forty-eight billion, one hundred forty-seven thousand, four hundred fifty-six".