45765035140608 has 2880 divisors, whose sum is σ = 179473700894400. Its totient is φ = 11437513113600.

The previous prime is 45765035140547. The next prime is 45765035140631. The reversal of 45765035140608 is 80604153056754.

It is a happy number.

45765035140608 is a `hidden beast` number, since 4 + 5 + 7 + 65 + 0 + 3 + 514 + 0 + 60 + 8 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 419862707658 + ... + 419862707766.

It is an arithmetic number, because the mean of its divisors is an integer number (62317257255).

Almost surely, 2^{45765035140608} is an apocalyptic number.

45765035140608 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 45765035140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89736850447200).

45765035140608 is an abundant number, since it is smaller than the sum of its proper divisors (133708665753792).

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

45765035140608 is a wasteful number, since it uses less digits than its factorization.

45765035140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 45765035140608 in words is "forty-five trillion, seven hundred sixty-five billion, thirty-five million, one hundred forty thousand, six hundred eight".