45780521472 has 480 divisors, whose sum is σ = 156728183040. Its totient is φ = 12594216960.

The previous prime is 45780521447. The next prime is 45780521473. The reversal of 45780521472 is 27412508754.

45780521472 is a `hidden beast` number, since 4 + 5 + 7 + 80 + 521 + 47 + 2 = 666.

It is a super-2 number, since 2×45780521472² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45780521473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104283429 + ... + 104283867.

It is an arithmetic number, because the mean of its divisors is an integer number (326517048).

Almost surely, 2^45780521472 is an apocalyptic number.

45780521472 is a gapful number since it is divisible by the number (42) 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 45780521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78364091520).

45780521472 is an abundant number, since it is smaller than the sum of its proper divisors (110947661568).

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

45780521472 is a wasteful number, since it uses less digits than its factorization.

45780521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 45780521472 in words is "forty-five billion, seven hundred eighty million, five hundred twenty-one thousand, four hundred seventy-two".