45653769584640 has 2880 divisors, whose sum is σ = 205424801524800. Its totient is φ = 9301288550400.

The previous prime is 45653769584597. The next prime is 45653769584651. The reversal of 45653769584640 is 4648596735654.

45653769584640 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 3 + 76 + 95 + 8 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 143 ways as a sum of consecutive naturals, for example, 452017520590 + ... + 452017520690.

It is an arithmetic number, because the mean of its divisors is an integer number (71328056085).

Almost surely, 2^{45653769584640} is an apocalyptic number.

45653769584640 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 45653769584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102712400762400).

45653769584640 is an abundant number, since it is smaller than the sum of its proper divisors (159771031940160).

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

45653769584640 is a wasteful number, since it uses less digits than its factorization.

45653769584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 45653769584640 in words is "forty-five trillion, six hundred fifty-three billion, seven hundred sixty-nine million, five hundred eighty-four thousand, six hundred forty".