45673746048 has 320 divisors, whose sum is σ = 164484302400. Its totient is φ = 12281683968.

The previous prime is 45673746047. The next prime is 45673746071. The reversal of 45673746048 is 84064737654.

45673746048 is a `hidden beast` number, since 4 + 567 + 3 + 74 + 6 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45673745985 and 45673746003.

It is not an unprimeable number, because it can be changed into a prime (45673746047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1215283 + ... + 1252301.

It is an arithmetic number, because the mean of its divisors is an integer number (514013445).

Almost surely, 2^45673746048 is an apocalyptic number.

45673746048 is a gapful number since it is divisible by the number (48) 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 45673746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82242151200).

45673746048 is an abundant number, since it is smaller than the sum of its proper divisors (118810556352).

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

45673746048 is a wasteful number, since it uses less digits than its factorization.

45673746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37069 (or 37048 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 45673746048 in words is "forty-five billion, six hundred seventy-three million, seven hundred forty-six thousand, forty-eight".