45719665528680 has 1536 divisors, whose sum is σ = 190451732889600. Its totient is φ = 9341750476800.

The previous prime is 45719665528643. The next prime is 45719665528681. The reversal of 45719665528680 is 8682556691754.

45719665528680 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 9 + 6 + 6 + 552 + 8 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45719665528599 and 45719665528608.

It is not an unprimeable number, because it can be changed into a prime (45719665528681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7792679107 + ... + 7792684973.

It is an arithmetic number, because the mean of its divisors is an integer number (123992013600).

Almost surely, 2^{45719665528680} is an apocalyptic number.

45719665528680 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 45719665528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95225866444800).

45719665528680 is an abundant number, since it is smaller than the sum of its proper divisors (144732067360920).

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

45719665528680 is a wasteful number, since it uses less digits than its factorization.

45719665528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 45719665528680 in words is "forty-five trillion, seven hundred nineteen billion, six hundred sixty-five million, five hundred twenty-eight thousand, six hundred eighty".